Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(5,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 5.20 | ||
Character | \(\chi\) | \(=\) | 441.5 |
Dual form | 441.2.bn.a.353.20 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.744514 | + | 0.593730i | −0.526451 | + | 0.419831i | −0.850316 | − | 0.526273i | \(-0.823589\pi\) |
0.323865 | + | 0.946103i | \(0.395018\pi\) | |||||||
\(3\) | −1.04233 | + | 1.38331i | −0.601790 | + | 0.798654i | ||||
\(4\) | −0.243256 | + | 1.06577i | −0.121628 | + | 0.532887i | ||||
\(5\) | 0.397639 | + | 0.271106i | 0.177830 | + | 0.121242i | 0.648964 | − | 0.760820i | \(-0.275203\pi\) |
−0.471134 | + | 0.882062i | \(0.656155\pi\) | |||||||
\(6\) | −0.0452820 | − | 1.64876i | −0.0184863 | − | 0.673102i | ||||
\(7\) | −2.38053 | − | 1.15459i | −0.899756 | − | 0.436394i | ||||
\(8\) | −1.27802 | − | 2.65384i | −0.451849 | − | 0.938275i | ||||
\(9\) | −0.827090 | − | 2.88373i | −0.275697 | − | 0.961245i | ||||
\(10\) | −0.457012 | + | 0.0342483i | −0.144520 | + | 0.0108303i | ||||
\(11\) | −0.227802 | − | 1.51137i | −0.0686850 | − | 0.455695i | −0.996565 | − | 0.0828158i | \(-0.973609\pi\) |
0.927880 | − | 0.372879i | \(-0.121629\pi\) | |||||||
\(12\) | −1.22074 | − | 1.44739i | −0.352398 | − | 0.417825i | ||||
\(13\) | 0.172566 | + | 1.14490i | 0.0478611 | + | 0.317538i | 0.999932 | + | 0.0116602i | \(0.00371164\pi\) |
−0.952071 | + | 0.305877i | \(0.901050\pi\) | |||||||
\(14\) | 2.45785 | − | 0.553784i | 0.656889 | − | 0.148005i | ||||
\(15\) | −0.789495 | + | 0.267476i | −0.203847 | + | 0.0690620i | ||||
\(16\) | 0.557325 | + | 0.268393i | 0.139331 | + | 0.0670984i | ||||
\(17\) | 1.74339 | − | 1.61763i | 0.422835 | − | 0.392334i | −0.439853 | − | 0.898070i | \(-0.644969\pi\) |
0.862688 | + | 0.505736i | \(0.168779\pi\) | |||||||
\(18\) | 2.32794 | + | 1.65591i | 0.548701 | + | 0.390302i | ||||
\(19\) | −5.11573 | − | 2.95357i | −1.17363 | − | 0.677595i | −0.219096 | − | 0.975703i | \(-0.570311\pi\) |
−0.954532 | + | 0.298109i | \(0.903644\pi\) | |||||||
\(20\) | −0.385666 | + | 0.357846i | −0.0862375 | + | 0.0800167i | ||||
\(21\) | 4.07846 | − | 2.08954i | 0.889992 | − | 0.455976i | ||||
\(22\) | 1.06695 | + | 0.989982i | 0.227474 | + | 0.211065i | ||||
\(23\) | 0.309968 | + | 1.00489i | 0.0646327 | + | 0.209534i | 0.982129 | − | 0.188211i | \(-0.0602689\pi\) |
−0.917496 | + | 0.397745i | \(0.869793\pi\) | |||||||
\(24\) | 5.00321 | + | 0.998282i | 1.02128 | + | 0.203774i | ||||
\(25\) | −1.74209 | − | 4.43876i | −0.348417 | − | 0.887753i | ||||
\(26\) | −0.808238 | − | 0.749935i | −0.158508 | − | 0.147074i | ||||
\(27\) | 4.85120 | + | 1.86169i | 0.933614 | + | 0.358282i | ||||
\(28\) | 1.80961 | − | 2.25625i | 0.341984 | − | 0.426391i | ||||
\(29\) | 6.27208 | + | 6.75969i | 1.16470 | + | 1.25524i | 0.961104 | + | 0.276188i | \(0.0890711\pi\) |
0.203592 | + | 0.979056i | \(0.434738\pi\) | |||||||
\(30\) | 0.428982 | − | 0.667887i | 0.0783210 | − | 0.121939i | ||||
\(31\) | 7.44428i | 1.33703i | 0.743698 | + | 0.668516i | \(0.233070\pi\) | ||||
−0.743698 | + | 0.668516i | \(0.766930\pi\) | |||||||
\(32\) | 5.16910 | − | 1.17981i | 0.913776 | − | 0.208563i | ||||
\(33\) | 2.32814 | + | 1.26023i | 0.405277 | + | 0.219377i | ||||
\(34\) | −0.337544 | + | 2.23946i | −0.0578883 | + | 0.384064i | ||||
\(35\) | −0.633576 | − | 1.10449i | −0.107094 | − | 0.186692i | ||||
\(36\) | 3.27461 | − | 0.180005i | 0.545768 | − | 0.0300009i | ||||
\(37\) | −8.67490 | − | 2.67585i | −1.42614 | − | 0.439907i | −0.516855 | − | 0.856073i | \(-0.672897\pi\) |
−0.909289 | + | 0.416166i | \(0.863374\pi\) | |||||||
\(38\) | 5.56235 | − | 0.838390i | 0.902333 | − | 0.136005i | ||||
\(39\) | −1.76362 | − | 0.954652i | −0.282405 | − | 0.152867i | ||||
\(40\) | 0.211280 | − | 1.40175i | 0.0334063 | − | 0.221636i | ||||
\(41\) | 0.620827 | − | 8.28436i | 0.0969569 | − | 1.29380i | −0.710426 | − | 0.703772i | \(-0.751498\pi\) |
0.807383 | − | 0.590028i | \(-0.200883\pi\) | |||||||
\(42\) | −1.79584 | + | 3.97720i | −0.277105 | + | 0.613695i | ||||
\(43\) | −0.683300 | − | 9.11801i | −0.104202 | − | 1.39048i | −0.766982 | − | 0.641669i | \(-0.778242\pi\) |
0.662779 | − | 0.748815i | \(-0.269377\pi\) | |||||||
\(44\) | 1.66619 | + | 0.124864i | 0.251188 | + | 0.0188239i | ||||
\(45\) | 0.452914 | − | 1.37091i | 0.0675164 | − | 0.204364i | ||||
\(46\) | −0.827409 | − | 0.564118i | −0.121995 | − | 0.0831747i | ||||
\(47\) | −6.24642 | − | 7.83276i | −0.911134 | − | 1.14253i | −0.989345 | − | 0.145589i | \(-0.953492\pi\) |
0.0782114 | − | 0.996937i | \(-0.475079\pi\) | |||||||
\(48\) | −0.952188 | + | 0.491198i | −0.137437 | + | 0.0708983i | ||||
\(49\) | 4.33384 | + | 5.49707i | 0.619120 | + | 0.785296i | ||||
\(50\) | 3.93244 | + | 2.27039i | 0.556130 | + | 0.321082i | ||||
\(51\) | 0.420493 | + | 4.09777i | 0.0588808 | + | 0.573802i | ||||
\(52\) | −1.26218 | − | 0.0945874i | −0.175033 | − | 0.0131169i | ||||
\(53\) | −3.06764 | − | 9.94504i | −0.421372 | − | 1.36606i | −0.878962 | − | 0.476892i | \(-0.841763\pi\) |
0.457589 | − | 0.889164i | \(-0.348713\pi\) | |||||||
\(54\) | −4.71712 | + | 1.49425i | −0.641919 | + | 0.203342i | ||||
\(55\) | 0.319158 | − | 0.662738i | 0.0430352 | − | 0.0893636i | ||||
\(56\) | −0.0217283 | + | 7.79314i | −0.00290357 | + | 1.04140i | ||||
\(57\) | 9.41798 | − | 3.99804i | 1.24744 | − | 0.529553i | ||||
\(58\) | −8.68308 | − | 1.30876i | −1.14014 | − | 0.171849i | ||||
\(59\) | 3.49818 | + | 1.68464i | 0.455424 | + | 0.219321i | 0.647509 | − | 0.762057i | \(-0.275811\pi\) |
−0.192085 | + | 0.981378i | \(0.561525\pi\) | |||||||
\(60\) | −0.0930195 | − | 0.906489i | −0.0120088 | − | 0.117027i | ||||
\(61\) | 1.61897 | − | 0.369519i | 0.207288 | − | 0.0473121i | −0.117616 | − | 0.993059i | \(-0.537525\pi\) |
0.324904 | + | 0.945747i | \(0.394668\pi\) | |||||||
\(62\) | −4.41989 | − | 5.54237i | −0.561327 | − | 0.703882i | ||||
\(63\) | −1.36062 | + | 7.81976i | −0.171422 | + | 0.985198i | ||||
\(64\) | −3.91934 | + | 4.91469i | −0.489917 | + | 0.614336i | ||||
\(65\) | −0.241770 | + | 0.502040i | −0.0299878 | + | 0.0622704i | ||||
\(66\) | −2.48156 | + | 0.444028i | −0.305460 | + | 0.0546561i | ||||
\(67\) | −9.68711 | −1.18347 | −0.591734 | − | 0.806133i | \(-0.701557\pi\) | ||||
−0.591734 | + | 0.806133i | \(0.701557\pi\) | |||||||
\(68\) | 1.29994 | + | 2.25157i | 0.157641 | + | 0.273042i | ||||
\(69\) | −1.71316 | − | 0.618648i | −0.206241 | − | 0.0744765i | ||||
\(70\) | 1.12747 | + | 0.446132i | 0.134759 | + | 0.0533230i | ||||
\(71\) | −7.81731 | − | 1.78425i | −0.927744 | − | 0.211751i | −0.268153 | − | 0.963376i | \(-0.586413\pi\) |
−0.659591 | + | 0.751625i | \(0.729270\pi\) | |||||||
\(72\) | −6.59594 | + | 5.88045i | −0.777339 | + | 0.693017i | ||||
\(73\) | −0.768815 | + | 5.10075i | −0.0899830 | + | 0.596998i | 0.897709 | + | 0.440588i | \(0.145230\pi\) |
−0.987692 | + | 0.156410i | \(0.950008\pi\) | |||||||
\(74\) | 8.04732 | − | 3.15834i | 0.935481 | − | 0.367149i | ||||
\(75\) | 7.95602 | + | 2.21682i | 0.918682 | + | 0.255976i | ||||
\(76\) | 4.39227 | − | 4.73374i | 0.503828 | − | 0.542997i | ||||
\(77\) | −1.20272 | + | 3.86088i | −0.137063 | + | 0.439988i | ||||
\(78\) | 1.87984 | − | 0.336362i | 0.212850 | − | 0.0380855i | ||||
\(79\) | −13.6507 | −1.53583 | −0.767914 | − | 0.640553i | \(-0.778705\pi\) | ||||
−0.767914 | + | 0.640553i | \(0.778705\pi\) | |||||||
\(80\) | 0.148851 | + | 0.257818i | 0.0166421 | + | 0.0288249i | ||||
\(81\) | −7.63184 | + | 4.77021i | −0.847983 | + | 0.530024i | ||||
\(82\) | 4.45646 | + | 6.53643i | 0.492134 | + | 0.721827i | ||||
\(83\) | 10.1814 | + | 1.53460i | 1.11756 | + | 0.168444i | 0.681742 | − | 0.731593i | \(-0.261223\pi\) |
0.435814 | + | 0.900037i | \(0.356461\pi\) | |||||||
\(84\) | 1.23487 | + | 4.85501i | 0.134736 | + | 0.529725i | ||||
\(85\) | 1.13179 | − | 0.170590i | 0.122760 | − | 0.0185031i | ||||
\(86\) | 5.92236 | + | 6.38279i | 0.638625 | + | 0.688274i | ||||
\(87\) | −15.8883 | + | 1.63038i | −1.70341 | + | 0.174795i | ||||
\(88\) | −3.71980 | + | 2.53612i | −0.396532 | + | 0.270351i | ||||
\(89\) | 2.24016 | + | 5.70784i | 0.237457 | + | 0.605030i | 0.999075 | − | 0.0429956i | \(-0.0136901\pi\) |
−0.761618 | + | 0.648026i | \(0.775595\pi\) | |||||||
\(90\) | 0.476753 | + | 1.28957i | 0.0502541 | + | 0.135933i | ||||
\(91\) | 0.911090 | − | 2.92471i | 0.0955082 | − | 0.306592i | ||||
\(92\) | −1.14639 | + | 0.0859100i | −0.119519 | + | 0.00895673i | ||||
\(93\) | −10.2977 | − | 7.75941i | −1.06783 | − | 0.804613i | ||||
\(94\) | 9.30109 | + | 2.12291i | 0.959335 | + | 0.218962i | ||||
\(95\) | −1.23348 | − | 2.56136i | −0.126553 | − | 0.262790i | ||||
\(96\) | −3.75587 | + | 8.38021i | −0.383331 | + | 0.855302i | ||||
\(97\) | −3.50028 | + | 2.02088i | −0.355399 | + | 0.205190i | −0.667061 | − | 0.745003i | \(-0.732448\pi\) |
0.311662 | + | 0.950193i | \(0.399114\pi\) | |||||||
\(98\) | −6.49038 | − | 1.51951i | −0.655628 | − | 0.153494i | ||||
\(99\) | −4.16997 | + | 1.90696i | −0.419098 | + | 0.191657i | ||||
\(100\) | 5.15450 | − | 0.776915i | 0.515450 | − | 0.0776915i | ||||
\(101\) | −0.345658 | + | 4.61248i | −0.0343942 | + | 0.458959i | 0.953243 | + | 0.302204i | \(0.0977224\pi\) |
−0.987638 | + | 0.156755i | \(0.949897\pi\) | |||||||
\(102\) | −2.74603 | − | 2.80118i | −0.271897 | − | 0.277359i | ||||
\(103\) | −3.55604 | + | 5.21575i | −0.350387 | + | 0.513923i | −0.960459 | − | 0.278423i | \(-0.910188\pi\) |
0.610072 | + | 0.792346i | \(0.291141\pi\) | |||||||
\(104\) | 2.81784 | − | 1.92117i | 0.276312 | − | 0.188386i | ||||
\(105\) | 2.18824 | + | 0.274809i | 0.213551 | + | 0.0268186i | ||||
\(106\) | 8.18857 | + | 5.58287i | 0.795344 | + | 0.542256i | ||||
\(107\) | −1.07105 | + | 0.420357i | −0.103543 | + | 0.0406375i | −0.416547 | − | 0.909114i | \(-0.636760\pi\) |
0.313004 | + | 0.949752i | \(0.398665\pi\) | |||||||
\(108\) | −3.16422 | + | 4.71742i | −0.304477 | + | 0.453934i | ||||
\(109\) | 3.84635 | − | 9.80034i | 0.368414 | − | 0.938703i | −0.619681 | − | 0.784854i | \(-0.712738\pi\) |
0.988094 | − | 0.153849i | \(-0.0491668\pi\) | |||||||
\(110\) | 0.155870 | + | 0.682911i | 0.0148616 | + | 0.0651130i | ||||
\(111\) | 12.7436 | − | 9.21094i | 1.20957 | − | 0.874264i | ||||
\(112\) | −1.01684 | − | 1.28240i | −0.0960827 | − | 0.121175i | ||||
\(113\) | −11.2721 | + | 4.42397i | −1.06039 | + | 0.416172i | −0.830484 | − | 0.557042i | \(-0.811936\pi\) |
−0.229904 | + | 0.973213i | \(0.573841\pi\) | |||||||
\(114\) | −4.63806 | + | 8.56833i | −0.434394 | + | 0.802498i | ||||
\(115\) | −0.149176 | + | 0.483618i | −0.0139108 | + | 0.0450976i | ||||
\(116\) | −8.73003 | + | 5.04029i | −0.810563 | + | 0.467979i | ||||
\(117\) | 3.15885 | − | 1.44457i | 0.292036 | − | 0.133550i | ||||
\(118\) | −3.60466 | + | 0.822741i | −0.331836 | + | 0.0757395i | ||||
\(119\) | −6.01791 | + | 1.83792i | −0.551661 | + | 0.168482i | ||||
\(120\) | 1.71883 | + | 1.75336i | 0.156907 | + | 0.160059i | ||||
\(121\) | 8.27896 | − | 2.55372i | 0.752633 | − | 0.232156i | ||||
\(122\) | −0.985950 | + | 1.23634i | −0.0892637 | + | 0.111933i | ||||
\(123\) | 10.8127 | + | 9.49384i | 0.974950 | + | 0.856031i | ||||
\(124\) | −7.93393 | − | 1.81087i | −0.712488 | − | 0.162621i | ||||
\(125\) | 1.04611 | − | 4.58331i | 0.0935669 | − | 0.409943i | ||||
\(126\) | −3.62983 | − | 6.62977i | −0.323371 | − | 0.590626i | ||||
\(127\) | −0.966722 | − | 4.23549i | −0.0857827 | − | 0.375839i | 0.913754 | − | 0.406267i | \(-0.133170\pi\) |
−0.999537 | + | 0.0304287i | \(0.990313\pi\) | |||||||
\(128\) | 4.61797i | 0.408175i | ||||||||
\(129\) | 13.3253 | + | 8.55877i | 1.17322 | + | 0.753558i | ||||
\(130\) | −0.118075 | − | 0.517322i | −0.0103559 | − | 0.0453721i | ||||
\(131\) | −0.818537 | − | 10.9226i | −0.0715159 | − | 0.954313i | −0.911393 | − | 0.411537i | \(-0.864992\pi\) |
0.839877 | − | 0.542776i | \(-0.182627\pi\) | |||||||
\(132\) | −1.90945 | + | 2.17471i | −0.166196 | + | 0.189284i | ||||
\(133\) | 8.76798 | + | 12.9376i | 0.760280 | + | 1.12183i | ||||
\(134\) | 7.21219 | − | 5.75153i | 0.623038 | − | 0.496856i | ||||
\(135\) | 1.42431 | + | 2.05547i | 0.122585 | + | 0.176906i | ||||
\(136\) | −6.52105 | − | 2.55932i | −0.559175 | − | 0.219460i | ||||
\(137\) | −10.9617 | − | 16.0779i | −0.936523 | − | 1.37363i | −0.927563 | − | 0.373668i | \(-0.878100\pi\) |
−0.00896064 | − | 0.999960i | \(-0.502852\pi\) | |||||||
\(138\) | 1.64278 | − | 0.556565i | 0.139843 | − | 0.0473780i | ||||
\(139\) | −9.18894 | − | 0.688616i | −0.779396 | − | 0.0584076i | −0.320910 | − | 0.947110i | \(-0.603989\pi\) |
−0.458485 | + | 0.888702i | \(0.651608\pi\) | |||||||
\(140\) | 1.33125 | − | 0.406576i | 0.112512 | − | 0.0343620i | ||||
\(141\) | 17.3460 | − | 0.476395i | 1.46079 | − | 0.0401197i | ||||
\(142\) | 6.87946 | − | 3.31297i | 0.577311 | − | 0.278019i | ||||
\(143\) | 1.69105 | − | 0.521621i | 0.141413 | − | 0.0436201i | ||||
\(144\) | 0.313018 | − | 1.82916i | 0.0260848 | − | 0.152430i | ||||
\(145\) | 0.661432 | + | 4.38832i | 0.0549290 | + | 0.364430i | ||||
\(146\) | −2.45608 | − | 4.25405i | −0.203266 | − | 0.352068i | ||||
\(147\) | −12.1215 | + | 0.265274i | −0.999761 | + | 0.0218794i | ||||
\(148\) | 4.96208 | − | 8.59457i | 0.407880 | − | 0.706469i | ||||
\(149\) | 0.247648 | + | 0.0971946i | 0.0202881 | + | 0.00796249i | 0.375463 | − | 0.926837i | \(-0.377484\pi\) |
−0.355175 | + | 0.934800i | \(0.615579\pi\) | |||||||
\(150\) | −7.23956 | + | 3.07327i | −0.591107 | + | 0.250932i | ||||
\(151\) | −7.11182 | − | 6.59880i | −0.578752 | − | 0.537003i | 0.335558 | − | 0.942020i | \(-0.391075\pi\) |
−0.914309 | + | 0.405017i | \(0.867266\pi\) | |||||||
\(152\) | −1.30028 | + | 17.3511i | −0.105467 | + | 1.40736i | ||||
\(153\) | −6.10677 | − | 3.68956i | −0.493703 | − | 0.298283i | ||||
\(154\) | −1.39688 | − | 3.58857i | −0.112563 | − | 0.289175i | ||||
\(155\) | −2.01819 | + | 2.96014i | −0.162105 | + | 0.237764i | ||||
\(156\) | 1.44645 | − | 1.64740i | 0.115809 | − | 0.131897i | ||||
\(157\) | 5.64836 | − | 11.7289i | 0.450788 | − | 0.936071i | −0.544468 | − | 0.838781i | \(-0.683269\pi\) |
0.995256 | − | 0.0972892i | \(-0.0310172\pi\) | |||||||
\(158\) | 10.1632 | − | 8.10485i | 0.808538 | − | 0.644787i | ||||
\(159\) | 16.9546 | + | 6.12253i | 1.34458 | + | 0.485548i | ||||
\(160\) | 2.37529 | + | 0.932232i | 0.187783 | + | 0.0736994i | ||||
\(161\) | 0.422350 | − | 2.75006i | 0.0332858 | − | 0.216735i | ||||
\(162\) | 2.84980 | − | 8.08275i | 0.223901 | − | 0.635041i | ||||
\(163\) | −4.43067 | + | 3.02078i | −0.347037 | + | 0.236606i | −0.724276 | − | 0.689510i | \(-0.757826\pi\) |
0.377239 | + | 0.926116i | \(0.376873\pi\) | |||||||
\(164\) | 8.67824 | + | 2.67688i | 0.677657 | + | 0.209029i | ||||
\(165\) | 0.584103 | + | 1.13229i | 0.0454724 | + | 0.0881484i | ||||
\(166\) | −8.49135 | + | 4.90248i | −0.659056 | + | 0.380506i | ||||
\(167\) | −17.9734 | − | 5.54406i | −1.39082 | − | 0.429012i | −0.493254 | − | 0.869885i | \(-0.664193\pi\) |
−0.897570 | + | 0.440873i | \(0.854669\pi\) | |||||||
\(168\) | −10.7577 | − | 8.15310i | −0.829973 | − | 0.629025i | ||||
\(169\) | 11.1414 | − | 3.43668i | 0.857033 | − | 0.264360i | ||||
\(170\) | −0.741351 | + | 0.798986i | −0.0568590 | + | 0.0612794i | ||||
\(171\) | −4.28613 | + | 17.1953i | −0.327769 | + | 1.31495i | ||||
\(172\) | 9.88396 | + | 1.48977i | 0.753645 | + | 0.113594i | ||||
\(173\) | −3.93079 | + | 17.2219i | −0.298853 | + | 1.30936i | 0.572985 | + | 0.819566i | \(0.305785\pi\) |
−0.871838 | + | 0.489794i | \(0.837072\pi\) | |||||||
\(174\) | 10.8611 | − | 10.6472i | 0.823376 | − | 0.807164i | ||||
\(175\) | −0.977865 | + | 12.5780i | −0.0739196 | + | 0.950808i | ||||
\(176\) | 0.278682 | − | 0.903464i | 0.0210064 | − | 0.0681012i | ||||
\(177\) | −5.97664 | + | 3.08312i | −0.449232 | + | 0.231741i | ||||
\(178\) | −5.05675 | − | 2.91952i | −0.379020 | − | 0.218827i | ||||
\(179\) | −5.38387 | − | 5.80243i | −0.402409 | − | 0.433694i | 0.499040 | − | 0.866579i | \(-0.333686\pi\) |
−0.901449 | + | 0.432885i | \(0.857496\pi\) | |||||||
\(180\) | 1.35091 | + | 0.816187i | 0.100691 | + | 0.0608350i | ||||
\(181\) | 18.4397 | + | 14.7052i | 1.37062 | + | 1.09303i | 0.985410 | + | 0.170198i | \(0.0544408\pi\) |
0.385205 | + | 0.922831i | \(0.374131\pi\) | |||||||
\(182\) | 1.05817 | + | 2.71843i | 0.0784365 | + | 0.201503i | ||||
\(183\) | −1.17634 | + | 2.62470i | −0.0869578 | + | 0.194023i | ||||
\(184\) | 2.27068 | − | 2.10688i | 0.167396 | − | 0.155321i | ||||
\(185\) | −2.72404 | − | 3.41584i | −0.200275 | − | 0.251137i | ||||
\(186\) | 12.2738 | − | 0.337092i | 0.899960 | − | 0.0247168i | ||||
\(187\) | −2.84199 | − | 2.26641i | −0.207827 | − | 0.165736i | ||||
\(188\) | 9.86744 | − | 4.75191i | 0.719657 | − | 0.346569i | ||||
\(189\) | −9.39894 | − | 10.0329i | −0.683672 | − | 0.729789i | ||||
\(190\) | 2.43910 | + | 1.17461i | 0.176951 | + | 0.0852151i | ||||
\(191\) | −1.51226 | − | 3.14025i | −0.109424 | − | 0.227220i | 0.839065 | − | 0.544031i | \(-0.183102\pi\) |
−0.948489 | + | 0.316810i | \(0.897388\pi\) | |||||||
\(192\) | −2.71329 | − | 10.5444i | −0.195815 | − | 0.760976i | ||||
\(193\) | −3.41876 | + | 1.64639i | −0.246088 | + | 0.118510i | −0.552862 | − | 0.833273i | \(-0.686464\pi\) |
0.306775 | + | 0.951782i | \(0.400750\pi\) | |||||||
\(194\) | 1.40614 | − | 3.58280i | 0.100955 | − | 0.257230i | ||||
\(195\) | −0.442472 | − | 0.857734i | −0.0316861 | − | 0.0614236i | ||||
\(196\) | −6.91288 | + | 3.28170i | −0.493777 | + | 0.234407i | ||||
\(197\) | 1.06318i | 0.0757481i | 0.999283 | + | 0.0378740i | \(0.0120586\pi\) | ||||
−0.999283 | + | 0.0378740i | \(0.987941\pi\) | |||||||
\(198\) | 1.97238 | − | 3.89560i | 0.140171 | − | 0.276848i | ||||
\(199\) | 0.662748 | − | 0.972073i | 0.0469810 | − | 0.0689085i | −0.802030 | − | 0.597284i | \(-0.796246\pi\) |
0.849011 | + | 0.528376i | \(0.177199\pi\) | |||||||
\(200\) | −9.55336 | + | 10.2961i | −0.675524 | + | 0.728042i | ||||
\(201\) | 10.0972 | − | 13.4003i | 0.712200 | − | 0.945182i | ||||
\(202\) | −2.48122 | − | 3.63928i | −0.174578 | − | 0.256059i | ||||
\(203\) | −7.12619 | − | 23.3333i | −0.500161 | − | 1.63768i | ||||
\(204\) | −4.46958 | − | 0.548656i | −0.312933 | − | 0.0384136i | ||||
\(205\) | 2.49280 | − | 3.12588i | 0.174105 | − | 0.218321i | ||||
\(206\) | −0.449228 | − | 5.99453i | −0.0312992 | − | 0.417659i | ||||
\(207\) | 2.64147 | − | 1.72500i | 0.183595 | − | 0.119896i | ||||
\(208\) | −0.211108 | + | 0.684395i | −0.0146377 | + | 0.0474543i | ||||
\(209\) | −3.29855 | + | 8.40458i | −0.228166 | + | 0.581357i | ||||
\(210\) | −1.79234 | + | 1.09463i | −0.123683 | + | 0.0755364i | ||||
\(211\) | 5.43303 | + | 13.8431i | 0.374025 | + | 0.953000i | 0.986683 | + | 0.162652i | \(0.0520048\pi\) |
−0.612659 | + | 0.790348i | \(0.709900\pi\) | |||||||
\(212\) | 11.3454 | − | 0.850219i | 0.779205 | − | 0.0583933i | ||||
\(213\) | 10.6164 | − | 8.95398i | 0.727424 | − | 0.613516i | ||||
\(214\) | 0.547835 | − | 0.948878i | 0.0374492 | − | 0.0648640i | ||||
\(215\) | 2.20024 | − | 3.81092i | 0.150055 | − | 0.259903i | ||||
\(216\) | −1.25932 | − | 15.2536i | −0.0856861 | − | 1.03788i | ||||
\(217\) | 8.59509 | − | 17.7213i | 0.583473 | − | 1.20300i | ||||
\(218\) | 2.95510 | + | 9.58019i | 0.200144 | + | 0.648852i | ||||
\(219\) | −6.25456 | − | 6.38019i | −0.422644 | − | 0.431133i | ||||
\(220\) | 0.628692 | + | 0.501365i | 0.0423864 | + | 0.0338021i | ||||
\(221\) | 2.15288 | + | 1.71686i | 0.144818 | + | 0.115489i | ||||
\(222\) | −4.01901 | + | 14.4240i | −0.269738 | + | 0.968073i | ||||
\(223\) | 6.30073 | + | 20.4265i | 0.421928 | + | 1.36786i | 0.878318 | + | 0.478078i | \(0.158666\pi\) |
−0.456389 | + | 0.889780i | \(0.650858\pi\) | |||||||
\(224\) | −13.6674 | − | 3.15961i | −0.913191 | − | 0.211110i | ||||
\(225\) | −11.3594 | + | 8.69497i | −0.757290 | + | 0.579665i | ||||
\(226\) | 5.76558 | − | 9.98628i | 0.383521 | − | 0.664277i | ||||
\(227\) | −0.400816 | + | 0.694234i | −0.0266031 | + | 0.0460779i | −0.879020 | − | 0.476784i | \(-0.841802\pi\) |
0.852417 | + | 0.522862i | \(0.175136\pi\) | |||||||
\(228\) | 1.97003 | + | 11.0100i | 0.130468 | + | 0.729155i | ||||
\(229\) | 10.3861 | − | 0.778330i | 0.686332 | − | 0.0514335i | 0.273000 | − | 0.962014i | \(-0.411984\pi\) |
0.413332 | + | 0.910580i | \(0.364365\pi\) | |||||||
\(230\) | −0.176075 | − | 0.448631i | −0.0116100 | − | 0.0295819i | ||||
\(231\) | −4.08715 | − | 5.68805i | −0.268915 | − | 0.374246i | ||||
\(232\) | 9.92330 | − | 25.2842i | 0.651497 | − | 1.65999i | ||||
\(233\) | 4.13724 | − | 13.4126i | 0.271040 | − | 0.878689i | −0.713065 | − | 0.701098i | \(-0.752693\pi\) |
0.984104 | − | 0.177591i | \(-0.0568303\pi\) | |||||||
\(234\) | −1.49413 | + | 2.95101i | −0.0976742 | + | 0.192913i | ||||
\(235\) | −0.360314 | − | 4.80805i | −0.0235043 | − | 0.313643i | ||||
\(236\) | −2.64640 | + | 3.31848i | −0.172266 | + | 0.216014i | ||||
\(237\) | 14.2286 | − | 18.8832i | 0.924246 | − | 1.22659i | ||||
\(238\) | 3.38919 | − | 4.94137i | 0.219688 | − | 0.320301i | ||||
\(239\) | 16.9594 | + | 24.8749i | 1.09702 | + | 1.60903i | 0.736734 | + | 0.676182i | \(0.236367\pi\) |
0.360281 | + | 0.932844i | \(0.382681\pi\) | |||||||
\(240\) | −0.511794 | − | 0.0628244i | −0.0330362 | − | 0.00405530i | ||||
\(241\) | −4.57441 | + | 4.93004i | −0.294663 | + | 0.317572i | −0.862980 | − | 0.505239i | \(-0.831404\pi\) |
0.568316 | + | 0.822810i | \(0.307595\pi\) | |||||||
\(242\) | −4.64758 | + | 6.81675i | −0.298758 | + | 0.438197i | ||||
\(243\) | 1.35623 | − | 15.5293i | 0.0870022 | − | 0.996208i | ||||
\(244\) | 1.81534i | 0.116215i | ||||||||
\(245\) | 0.233018 | + | 3.36078i | 0.0148869 | + | 0.214712i | ||||
\(246\) | −13.6870 | − | 0.648460i | −0.872652 | − | 0.0413443i | ||||
\(247\) | 2.49873 | − | 6.36667i | 0.158991 | − | 0.405101i | ||||
\(248\) | 19.7560 | − | 9.51397i | 1.25450 | − | 0.604137i | ||||
\(249\) | −12.7352 | + | 12.4845i | −0.807063 | + | 0.791172i | ||||
\(250\) | 1.94240 | + | 4.03344i | 0.122848 | + | 0.255097i | ||||
\(251\) | 1.86520 | + | 0.898231i | 0.117730 | + | 0.0566958i | 0.491822 | − | 0.870696i | \(-0.336331\pi\) |
−0.374092 | + | 0.927392i | \(0.622045\pi\) | |||||||
\(252\) | −8.00313 | − | 3.35232i | −0.504150 | − | 0.211176i | ||||
\(253\) | 1.44815 | − | 0.697392i | 0.0910444 | − | 0.0438447i | ||||
\(254\) | 3.23448 | + | 2.57941i | 0.202949 | + | 0.161846i | ||||
\(255\) | −0.943724 | + | 1.74343i | −0.0590983 | + | 0.109178i | ||||
\(256\) | −10.5805 | − | 13.2675i | −0.661281 | − | 0.829220i | ||||
\(257\) | −2.01193 | + | 1.86680i | −0.125501 | + | 0.116448i | −0.740426 | − | 0.672137i | \(-0.765376\pi\) |
0.614926 | + | 0.788585i | \(0.289186\pi\) | |||||||
\(258\) | −15.0024 | + | 1.53948i | −0.934011 | + | 0.0958437i | ||||
\(259\) | 17.5613 | + | 16.3859i | 1.09121 | + | 1.01817i | ||||
\(260\) | −0.476249 | − | 0.379796i | −0.0295357 | − | 0.0235540i | ||||
\(261\) | 14.3056 | − | 23.6779i | 0.885493 | − | 1.46562i | ||||
\(262\) | 7.09450 | + | 7.64605i | 0.438300 | + | 0.472375i | ||||
\(263\) | 6.45255 | + | 3.72538i | 0.397881 | + | 0.229717i | 0.685569 | − | 0.728007i | \(-0.259553\pi\) |
−0.287688 | + | 0.957724i | \(0.592887\pi\) | |||||||
\(264\) | 0.369031 | − | 7.78911i | 0.0227123 | − | 0.479386i | ||||
\(265\) | 1.47634 | − | 4.78619i | 0.0906911 | − | 0.294013i | ||||
\(266\) | −14.2093 | − | 4.42643i | −0.871231 | − | 0.271402i | ||||
\(267\) | −10.2307 | − | 2.85063i | −0.626109 | − | 0.174455i | ||||
\(268\) | 2.35645 | − | 10.3243i | 0.143943 | − | 0.630655i | ||||
\(269\) | 1.96281 | + | 0.295846i | 0.119675 | + | 0.0180380i | 0.208606 | − | 0.978000i | \(-0.433107\pi\) |
−0.0889319 | + | 0.996038i | \(0.528345\pi\) | |||||||
\(270\) | −2.28081 | − | 0.684667i | −0.138806 | − | 0.0416675i | ||||
\(271\) | −8.98323 | + | 9.68162i | −0.545692 | + | 0.588116i | −0.944333 | − | 0.328991i | \(-0.893291\pi\) |
0.398641 | + | 0.917107i | \(0.369482\pi\) | |||||||
\(272\) | 1.40580 | − | 0.433632i | 0.0852391 | − | 0.0262928i | ||||
\(273\) | 3.09611 | + | 4.30883i | 0.187385 | + | 0.260782i | ||||
\(274\) | 17.7071 | + | 5.46191i | 1.06972 | + | 0.329966i | ||||
\(275\) | −6.31176 | + | 3.64410i | −0.380613 | + | 0.219747i | ||||
\(276\) | 1.07608 | − | 1.67536i | 0.0647722 | − | 0.100845i | ||||
\(277\) | −12.0991 | − | 3.73207i | −0.726963 | − | 0.224239i | −0.0908833 | − | 0.995862i | \(-0.528969\pi\) |
−0.636080 | + | 0.771623i | \(0.719445\pi\) | |||||||
\(278\) | 7.25015 | − | 4.94307i | 0.434835 | − | 0.296465i | ||||
\(279\) | 21.4673 | − | 6.15709i | 1.28522 | − | 0.368615i | ||||
\(280\) | −2.12141 | + | 3.09297i | −0.126778 | + | 0.184840i | ||||
\(281\) | −11.4674 | − | 4.50061i | −0.684085 | − | 0.268484i | −0.00225867 | − | 0.999997i | \(-0.500719\pi\) |
−0.681827 | + | 0.731514i | \(0.738814\pi\) | |||||||
\(282\) | −12.6315 | + | 10.6535i | −0.752193 | + | 0.634407i | ||||
\(283\) | 18.2597 | − | 14.5616i | 1.08542 | − | 0.865597i | 0.0939080 | − | 0.995581i | \(-0.470064\pi\) |
0.991516 | + | 0.129984i | \(0.0414926\pi\) | |||||||
\(284\) | 3.80322 | − | 7.89746i | 0.225679 | − | 0.468628i | ||||
\(285\) | 4.82885 | + | 0.963492i | 0.286036 | + | 0.0570724i | ||||
\(286\) | −0.949310 | + | 1.39238i | −0.0561339 | + | 0.0823333i | ||||
\(287\) | −11.0429 | + | 19.0044i | −0.651844 | + | 1.12179i | ||||
\(288\) | −7.67757 | − | 13.9305i | −0.452405 | − | 0.820862i | ||||
\(289\) | −0.847726 | + | 11.3121i | −0.0498662 | + | 0.665419i | ||||
\(290\) | −3.09792 | − | 2.87445i | −0.181916 | − | 0.168794i | ||||
\(291\) | 0.852938 | − | 6.94840i | 0.0500001 | − | 0.407322i | ||||
\(292\) | −5.24924 | − | 2.06017i | −0.307188 | − | 0.120563i | ||||
\(293\) | 2.74451 | − | 4.75362i | 0.160336 | − | 0.277710i | −0.774653 | − | 0.632386i | \(-0.782076\pi\) |
0.934989 | + | 0.354676i | \(0.115409\pi\) | |||||||
\(294\) | 8.86709 | − | 7.39437i | 0.517139 | − | 0.431249i | ||||
\(295\) | 0.934300 | + | 1.61825i | 0.0543970 | + | 0.0942184i | ||||
\(296\) | 3.98543 | + | 26.4416i | 0.231648 | + | 1.53689i | ||||
\(297\) | 1.70858 | − | 7.75605i | 0.0991419 | − | 0.450051i | ||||
\(298\) | −0.242085 | + | 0.0746732i | −0.0140236 | + | 0.00432570i | ||||
\(299\) | −1.09701 | + | 0.528291i | −0.0634416 | + | 0.0305519i | ||||
\(300\) | −4.29798 | + | 7.94007i | −0.248144 | + | 0.458420i | ||||
\(301\) | −8.90095 | + | 22.4946i | −0.513042 | + | 1.29657i | ||||
\(302\) | 9.21276 | + | 0.690401i | 0.530135 | + | 0.0397281i | ||||
\(303\) | −6.02020 | − | 5.28589i | −0.345851 | − | 0.303666i | ||||
\(304\) | −2.05840 | − | 3.01912i | −0.118058 | − | 0.173159i | ||||
\(305\) | 0.743944 | + | 0.291976i | 0.0425981 | + | 0.0167185i | ||||
\(306\) | 6.73718 | − | 0.878846i | 0.385139 | − | 0.0502403i | ||||
\(307\) | −8.57245 | + | 6.83630i | −0.489255 | + | 0.390168i | −0.836812 | − | 0.547491i | \(-0.815583\pi\) |
0.347556 | + | 0.937659i | \(0.387012\pi\) | |||||||
\(308\) | −3.82226 | − | 2.22101i | −0.217793 | − | 0.126554i | ||||
\(309\) | −3.50843 | − | 10.3556i | −0.199587 | − | 0.589112i | ||||
\(310\) | −0.254954 | − | 3.40212i | −0.0144804 | − | 0.193228i | ||||
\(311\) | 2.02665 | + | 8.87932i | 0.114921 | + | 0.503500i | 0.999324 | + | 0.0367758i | \(0.0117087\pi\) |
−0.884403 | + | 0.466724i | \(0.845434\pi\) | |||||||
\(312\) | −0.279550 | + | 5.90043i | −0.0158264 | + | 0.334046i | ||||
\(313\) | 12.2689i | 0.693478i | 0.937962 | + | 0.346739i | \(0.112711\pi\) | ||||
−0.937962 | + | 0.346739i | \(0.887289\pi\) | |||||||
\(314\) | 2.75854 | + | 12.0860i | 0.155673 | + | 0.682050i | ||||
\(315\) | −2.66102 | + | 2.74057i | −0.149931 | + | 0.154414i | ||||
\(316\) | 3.32062 | − | 14.5486i | 0.186800 | − | 0.818423i | ||||
\(317\) | −7.56051 | − | 1.72564i | −0.424641 | − | 0.0969214i | 0.00485963 | − | 0.999988i | \(-0.498453\pi\) |
−0.429500 | + | 0.903067i | \(0.641310\pi\) | |||||||
\(318\) | −16.2580 | + | 5.50812i | −0.911706 | + | 0.308880i | ||||
\(319\) | 8.78760 | − | 11.0193i | 0.492011 | − | 0.616962i | ||||
\(320\) | −2.89088 | + | 0.891719i | −0.161605 | + | 0.0498486i | ||||
\(321\) | 0.534908 | − | 1.91975i | 0.0298557 | − | 0.107150i | ||||
\(322\) | 1.31835 | + | 2.29822i | 0.0734686 | + | 0.128075i | ||||
\(323\) | −13.6965 | + | 3.12614i | −0.762095 | + | 0.173943i | ||||
\(324\) | −3.22748 | − | 9.29421i | −0.179305 | − | 0.516345i | ||||
\(325\) | 4.78131 | − | 2.76049i | 0.265219 | − | 0.153124i | ||||
\(326\) | 1.50517 | − | 4.87963i | 0.0833635 | − | 0.270258i | ||||
\(327\) | 9.54773 | + | 15.5359i | 0.527991 | + | 0.859137i | ||||
\(328\) | −22.7788 | + | 8.94003i | −1.25775 | + | 0.493630i | ||||
\(329\) | 5.82616 | + | 25.8582i | 0.321206 | + | 1.42561i | ||||
\(330\) | −1.10715 | − | 0.496204i | −0.0609464 | − | 0.0273151i | ||||
\(331\) | −3.63037 | − | 15.9057i | −0.199543 | − | 0.874257i | −0.971209 | − | 0.238228i | \(-0.923433\pi\) |
0.771666 | − | 0.636028i | \(-0.219424\pi\) | |||||||
\(332\) | −4.11223 | + | 10.4778i | −0.225688 | + | 0.575044i | ||||
\(333\) | −0.541524 | + | 27.2293i | −0.0296754 | + | 1.49215i | ||||
\(334\) | 16.6731 | − | 6.54372i | 0.912313 | − | 0.358056i | ||||
\(335\) | −3.85197 | − | 2.62623i | −0.210456 | − | 0.143486i | ||||
\(336\) | 2.83384 | − | 0.0699232i | 0.154599 | − | 0.00381462i | ||||
\(337\) | −16.5081 | + | 11.2550i | −0.899251 | + | 0.613099i | −0.922232 | − | 0.386637i | \(-0.873637\pi\) |
0.0229810 | + | 0.999736i | \(0.492684\pi\) | |||||||
\(338\) | −6.25450 | + | 9.17366i | −0.340200 | + | 0.498981i | ||||
\(339\) | 5.62953 | − | 20.2040i | 0.305754 | − | 1.09733i | ||||
\(340\) | −0.0935046 | + | 1.24773i | −0.00507100 | + | 0.0676678i | ||||
\(341\) | 11.2511 | − | 1.69582i | 0.609279 | − | 0.0918340i | ||||
\(342\) | −7.01826 | − | 15.3469i | −0.379504 | − | 0.829866i | ||||
\(343\) | −3.96998 | − | 18.0898i | −0.214359 | − | 0.976755i | ||||
\(344\) | −23.3245 | + | 13.4664i | −1.25757 | + | 0.726060i | ||||
\(345\) | −0.513502 | − | 0.710447i | −0.0276460 | − | 0.0382492i | ||||
\(346\) | −7.29865 | − | 15.1558i | −0.392378 | − | 0.814781i | ||||
\(347\) | 8.19603 | + | 1.87069i | 0.439986 | + | 0.100424i | 0.436775 | − | 0.899571i | \(-0.356121\pi\) |
0.00321134 | + | 0.999995i | \(0.498978\pi\) | |||||||
\(348\) | 2.12731 | − | 17.3300i | 0.114036 | − | 0.928985i | ||||
\(349\) | 16.9765 | − | 1.27222i | 0.908734 | − | 0.0681002i | 0.387845 | − | 0.921725i | \(-0.373220\pi\) |
0.520889 | + | 0.853625i | \(0.325601\pi\) | |||||||
\(350\) | −6.73991 | − | 9.94509i | −0.360263 | − | 0.531587i | ||||
\(351\) | −1.29429 | + | 5.87539i | −0.0690841 | + | 0.313605i | ||||
\(352\) | −2.96066 | − | 7.54365i | −0.157804 | − | 0.402078i | ||||
\(353\) | 25.7845 | − | 17.5796i | 1.37237 | − | 0.935667i | 0.372401 | − | 0.928072i | \(-0.378535\pi\) |
0.999971 | − | 0.00759536i | \(-0.00241770\pi\) | |||||||
\(354\) | 2.61915 | − | 5.84394i | 0.139206 | − | 0.310602i | ||||
\(355\) | −2.62475 | − | 2.82881i | −0.139307 | − | 0.150137i | ||||
\(356\) | −6.62821 | + | 0.999042i | −0.351294 | + | 0.0529491i | ||||
\(357\) | 3.73024 | − | 10.2403i | 0.197425 | − | 0.541977i | ||||
\(358\) | 7.45345 | + | 1.12343i | 0.393927 | + | 0.0593749i | ||||
\(359\) | 9.91661 | + | 14.5450i | 0.523378 | + | 0.767655i | 0.993363 | − | 0.115019i | \(-0.0366930\pi\) |
−0.469985 | + | 0.882674i | \(0.655741\pi\) | |||||||
\(360\) | −4.21703 | + | 0.550099i | −0.222257 | + | 0.0289928i | ||||
\(361\) | 7.94711 | + | 13.7648i | 0.418269 | + | 0.724463i | ||||
\(362\) | −22.4596 | −1.18045 | ||||||||
\(363\) | −5.09683 | + | 14.1142i | −0.267514 | + | 0.740803i | ||||
\(364\) | 2.89545 | + | 1.68247i | 0.151763 | + | 0.0881854i | ||||
\(365\) | −1.68855 | + | 1.81983i | −0.0883830 | + | 0.0952542i | ||||
\(366\) | −0.682557 | − | 2.65255i | −0.0356778 | − | 0.138651i | ||||
\(367\) | −2.39958 | + | 0.941767i | −0.125257 | + | 0.0491599i | −0.427142 | − | 0.904185i | \(-0.640480\pi\) |
0.301885 | + | 0.953344i | \(0.402384\pi\) | |||||||
\(368\) | −0.0969534 | + | 0.643244i | −0.00505405 | + | 0.0335314i | ||||
\(369\) | −24.4034 | + | 5.06161i | −1.27039 | + | 0.263497i | ||||
\(370\) | 4.05617 | + | 0.925795i | 0.210870 | + | 0.0481298i | ||||
\(371\) | −4.17984 | + | 27.2163i | −0.217006 | + | 1.41300i | ||||
\(372\) | 10.7748 | − | 9.08755i | 0.558646 | − | 0.471168i | ||||
\(373\) | 6.64062 | + | 11.5019i | 0.343838 | + | 0.595545i | 0.985142 | − | 0.171742i | \(-0.0549395\pi\) |
−0.641304 | + | 0.767287i | \(0.721606\pi\) | |||||||
\(374\) | 3.46154 | 0.178992 | ||||||||
\(375\) | 5.24974 | + | 6.22442i | 0.271095 | + | 0.321428i | ||||
\(376\) | −12.8038 | + | 26.5875i | −0.660308 | + | 1.37114i | ||||
\(377\) | −6.65681 | + | 8.34738i | −0.342843 | + | 0.429912i | ||||
\(378\) | 12.9545 | + | 1.88924i | 0.666308 | + | 0.0971718i | ||||
\(379\) | 4.10628 | + | 5.14911i | 0.210925 | + | 0.264492i | 0.876028 | − | 0.482260i | \(-0.160184\pi\) |
−0.665103 | + | 0.746752i | \(0.731612\pi\) | |||||||
\(380\) | 3.02988 | − | 0.691551i | 0.155430 | − | 0.0354758i | ||||
\(381\) | 6.86664 | + | 3.07751i | 0.351788 | + | 0.157665i | ||||
\(382\) | 2.99036 | + | 1.44008i | 0.153000 | + | 0.0736810i | ||||
\(383\) | 36.8762 | + | 5.55820i | 1.88429 | + | 0.284011i | 0.987400 | − | 0.158247i | \(-0.0505841\pi\) |
0.896888 | + | 0.442257i | \(0.145822\pi\) | |||||||
\(384\) | −6.38808 | − | 4.81346i | −0.325991 | − | 0.245636i | ||||
\(385\) | −1.52496 | + | 1.20917i | −0.0777189 | + | 0.0616251i | ||||
\(386\) | 1.56780 | − | 3.25558i | 0.0797992 | − | 0.165705i | ||||
\(387\) | −25.7288 | + | 9.51187i | −1.30787 | + | 0.483516i | ||||
\(388\) | −1.30234 | − | 4.22210i | −0.0661165 | − | 0.214345i | ||||
\(389\) | 3.75317 | + | 0.281261i | 0.190293 | + | 0.0142605i | 0.169536 | − | 0.985524i | \(-0.445773\pi\) |
0.0207575 | + | 0.999785i | \(0.493392\pi\) | |||||||
\(390\) | 0.838689 | + | 0.375886i | 0.0424687 | + | 0.0190337i | ||||
\(391\) | 2.16594 | + | 1.25051i | 0.109536 | + | 0.0632409i | ||||
\(392\) | 9.04961 | − | 18.5267i | 0.457074 | − | 0.935741i | ||||
\(393\) | 15.9625 | + | 10.2527i | 0.805204 | + | 0.517180i | ||||
\(394\) | −0.631239 | − | 0.791549i | −0.0318014 | − | 0.0398777i | ||||
\(395\) | −5.42807 | − | 3.70079i | −0.273116 | − | 0.186207i | ||||
\(396\) | −1.01802 | − | 4.90813i | −0.0511573 | − | 0.246643i | ||||
\(397\) | −33.6212 | − | 2.51956i | −1.68740 | − | 0.126453i | −0.803862 | − | 0.594815i | \(-0.797225\pi\) |
−0.883537 | + | 0.468362i | \(0.844844\pi\) | |||||||
\(398\) | 0.0837238 | + | 1.11722i | 0.00419669 | + | 0.0560010i | ||||
\(399\) | −27.0359 | − | 1.35646i | −1.35349 | − | 0.0679079i | ||||
\(400\) | 0.220427 | − | 2.94140i | 0.0110214 | − | 0.147070i | ||||
\(401\) | −3.05935 | + | 20.2975i | −0.152777 | + | 1.01361i | 0.772691 | + | 0.634782i | \(0.218910\pi\) |
−0.925468 | + | 0.378826i | \(0.876328\pi\) | |||||||
\(402\) | 0.438652 | + | 15.9717i | 0.0218780 | + | 0.796595i | ||||
\(403\) | −8.52294 | + | 1.28463i | −0.424558 | + | 0.0639918i | ||||
\(404\) | −4.83178 | − | 1.49041i | −0.240390 | − | 0.0741505i | ||||
\(405\) | −4.32795 | − | 0.172213i | −0.215058 | − | 0.00855735i | ||||
\(406\) | 19.1593 | + | 13.1410i | 0.950858 | + | 0.652175i | ||||
\(407\) | −2.06804 | + | 13.7205i | −0.102509 | + | 0.680102i | ||||
\(408\) | 10.3374 | − | 6.35296i | 0.511779 | − | 0.314518i | ||||
\(409\) | −16.9482 | + | 3.86831i | −0.838033 | + | 0.191276i | −0.619937 | − | 0.784652i | \(-0.712842\pi\) |
−0.218096 | + | 0.975927i | \(0.569985\pi\) | |||||||
\(410\) | 3.80731i | 0.188030i | ||||||||
\(411\) | 33.6665 | + | 1.59504i | 1.66064 | + | 0.0786777i | ||||
\(412\) | −4.69379 | − | 5.05870i | −0.231246 | − | 0.249224i | ||||
\(413\) | −6.38246 | − | 8.04929i | −0.314060 | − | 0.396080i | ||||
\(414\) | −0.942425 | + | 2.85261i | −0.0463177 | + | 0.140198i | ||||
\(415\) | 3.63249 | + | 3.37046i | 0.178312 | + | 0.165449i | ||||
\(416\) | 2.24277 | + | 5.71449i | 0.109961 | + | 0.280176i | ||||
\(417\) | 10.5305 | − | 11.9934i | 0.515680 | − | 0.587318i | ||||
\(418\) | −2.53423 | − | 8.21578i | −0.123953 | − | 0.401847i | ||||
\(419\) | −15.9383 | − | 14.7886i | −0.778637 | − | 0.722470i | 0.187001 | − | 0.982360i | \(-0.440123\pi\) |
−0.965638 | + | 0.259890i | \(0.916314\pi\) | |||||||
\(420\) | −0.825188 | + | 2.26532i | −0.0402650 | + | 0.110536i | ||||
\(421\) | 8.79427 | − | 8.15989i | 0.428607 | − | 0.397689i | −0.436155 | − | 0.899872i | \(-0.643660\pi\) |
0.864762 | + | 0.502183i | \(0.167470\pi\) | |||||||
\(422\) | −12.2640 | − | 7.08065i | −0.597004 | − | 0.344681i | ||||
\(423\) | −17.4213 | + | 24.4914i | −0.847050 | + | 1.19081i | ||||
\(424\) | −22.4720 | + | 20.8510i | −1.09134 | + | 1.01261i | ||||
\(425\) | −10.2174 | − | 4.92046i | −0.495619 | − | 0.238677i | ||||
\(426\) | −2.58781 | + | 12.9696i | −0.125380 | + | 0.628381i | ||||
\(427\) | −4.28064 | − | 0.989594i | −0.207155 | − | 0.0478898i | ||||
\(428\) | −0.187466 | − | 1.24376i | −0.00906151 | − | 0.0601192i | ||||
\(429\) | −1.04107 | + | 2.88295i | −0.0502635 | + | 0.139190i | ||||
\(430\) | 0.624553 | + | 4.14364i | 0.0301186 | + | 0.199824i | ||||
\(431\) | 1.39394 | − | 0.104461i | 0.0671437 | − | 0.00503173i | −0.0411159 | − | 0.999154i | \(-0.513091\pi\) |
0.108260 | + | 0.994123i | \(0.465472\pi\) | |||||||
\(432\) | 2.20403 | + | 2.33959i | 0.106041 | + | 0.112564i | ||||
\(433\) | 1.65620 | + | 3.43913i | 0.0795917 | + | 0.165274i | 0.936967 | − | 0.349418i | \(-0.113621\pi\) |
−0.857375 | + | 0.514692i | \(0.827906\pi\) | |||||||
\(434\) | 4.12252 | + | 18.2969i | 0.197887 | + | 0.878282i | ||||
\(435\) | −6.75983 | − | 3.65911i | −0.324109 | − | 0.175441i | ||||
\(436\) | 9.50931 | + | 6.48334i | 0.455413 | + | 0.310496i | ||||
\(437\) | 1.38230 | − | 6.05626i | 0.0661244 | − | 0.289710i | ||||
\(438\) | 8.44472 | + | 1.03662i | 0.403504 | + | 0.0495315i | ||||
\(439\) | −10.6246 | + | 8.47286i | −0.507086 | + | 0.404387i | −0.843337 | − | 0.537385i | \(-0.819412\pi\) |
0.336251 | + | 0.941772i | \(0.390841\pi\) | |||||||
\(440\) | −2.16669 | −0.103293 | ||||||||
\(441\) | 12.2676 | − | 17.0442i | 0.584172 | − | 0.811630i | ||||
\(442\) | −2.62220 | −0.124725 | ||||||||
\(443\) | 31.2052 | − | 24.8853i | 1.48260 | − | 1.18234i | 0.543163 | − | 0.839627i | \(-0.317226\pi\) |
0.939441 | − | 0.342711i | \(-0.111345\pi\) | |||||||
\(444\) | 6.71682 | + | 15.8225i | 0.318766 | + | 0.750902i | ||||
\(445\) | −0.656653 | + | 2.87698i | −0.0311283 | + | 0.136382i | ||||
\(446\) | −16.8188 | − | 11.4669i | −0.796393 | − | 0.542972i | ||||
\(447\) | −0.392581 | + | 0.241265i | −0.0185685 | + | 0.0114114i | ||||
\(448\) | 15.0045 | − | 7.17434i | 0.708898 | − | 0.338956i | ||||
\(449\) | −11.9972 | − | 24.9124i | −0.566183 | − | 1.17569i | −0.965867 | − | 0.259038i | \(-0.916594\pi\) |
0.399684 | − | 0.916653i | \(-0.369120\pi\) | |||||||
\(450\) | 3.29473 | − | 13.2179i | 0.155315 | − | 0.623099i | ||||
\(451\) | −12.6621 | + | 0.948897i | −0.596237 | + | 0.0446818i | ||||
\(452\) | −1.97295 | − | 13.0897i | −0.0927997 | − | 0.615686i | ||||
\(453\) | 16.5411 | − | 2.95971i | 0.777167 | − | 0.139059i | ||||
\(454\) | −0.113774 | − | 0.754843i | −0.00533969 | − | 0.0354265i | ||||
\(455\) | 1.15519 | − | 0.915976i | 0.0541561 | − | 0.0429416i | ||||
\(456\) | −22.6466 | − | 19.8843i | −1.06052 | − | 0.931165i | ||||
\(457\) | −5.58022 | − | 2.68729i | −0.261032 | − | 0.125706i | 0.298791 | − | 0.954319i | \(-0.403417\pi\) |
−0.559823 | + | 0.828612i | \(0.689131\pi\) | |||||||
\(458\) | −7.27047 | + | 6.74601i | −0.339727 | + | 0.315220i | ||||
\(459\) | 11.4691 | − | 4.60181i | 0.535331 | − | 0.214794i | ||||
\(460\) | −0.479140 | − | 0.276632i | −0.0223400 | − | 0.0128980i | ||||
\(461\) | −16.0476 | + | 14.8900i | −0.747410 | + | 0.693495i | −0.958856 | − | 0.283894i | \(-0.908373\pi\) |
0.211445 | + | 0.977390i | \(0.432183\pi\) | |||||||
\(462\) | 6.42011 | + | 1.80817i | 0.298691 | + | 0.0841236i | ||||
\(463\) | −28.8408 | − | 26.7603i | −1.34034 | − | 1.24366i | −0.945787 | − | 0.324786i | \(-0.894708\pi\) |
−0.394557 | − | 0.918872i | \(-0.629102\pi\) | |||||||
\(464\) | 1.68133 | + | 5.45073i | 0.0780537 | + | 0.253044i | ||||
\(465\) | −1.99117 | − | 5.87722i | −0.0923381 | − | 0.272550i | ||||
\(466\) | 4.88323 | + | 12.4423i | 0.226211 | + | 0.576377i | ||||
\(467\) | −6.86427 | − | 6.36911i | −0.317640 | − | 0.294727i | 0.505197 | − | 0.863004i | \(-0.331420\pi\) |
−0.822837 | + | 0.568277i | \(0.807610\pi\) | |||||||
\(468\) | 0.771172 | + | 3.71803i | 0.0356474 | + | 0.171866i | ||||
\(469\) | 23.0604 | + | 11.1846i | 1.06483 | + | 0.516459i | ||||
\(470\) | 3.12294 | + | 3.36573i | 0.144051 | + | 0.155250i | ||||
\(471\) | 10.3373 | + | 20.0389i | 0.476317 | + | 0.923342i | ||||
\(472\) | − | 11.4366i | − | 0.526413i | ||||||
\(473\) | −13.6250 | + | 3.10982i | −0.626479 | + | 0.142990i | ||||
\(474\) | 0.618133 | + | 22.5067i | 0.0283918 | + | 1.03377i | ||||
\(475\) | −4.19815 | + | 27.8529i | −0.192624 | + | 1.27798i | ||||
\(476\) | −0.494915 | − | 6.86082i | −0.0226844 | − | 0.314465i | ||||
\(477\) | −26.1416 | + | 17.0717i | −1.19694 | + | 0.781659i | ||||
\(478\) | −27.3955 | − | 8.45041i | −1.25304 | − | 0.386513i | ||||
\(479\) | 9.85424 | − | 1.48529i | 0.450252 | − | 0.0678645i | 0.0799976 | − | 0.996795i | \(-0.474509\pi\) |
0.370254 | + | 0.928931i | \(0.379271\pi\) | |||||||
\(480\) | −3.76540 | + | 2.31406i | −0.171866 | + | 0.105622i | ||||
\(481\) | 1.56659 | − | 10.3936i | 0.0714302 | − | 0.473909i | ||||
\(482\) | 0.478598 | − | 6.38644i | 0.0217995 | − | 0.290895i | ||||
\(483\) | 3.36395 | + | 3.45071i | 0.153065 | + | 0.157013i | ||||
\(484\) | 0.707783 | + | 9.44471i | 0.0321720 | + | 0.429305i | ||||
\(485\) | −1.93972 | − | 0.145362i | −0.0880782 | − | 0.00660055i | ||||
\(486\) | 8.21051 | + | 12.3671i | 0.372436 | + | 0.560981i | ||||
\(487\) | 17.1962 | + | 11.7242i | 0.779235 | + | 0.531273i | 0.886373 | − | 0.462971i | \(-0.153217\pi\) |
−0.107139 | + | 0.994244i | \(0.534169\pi\) | |||||||
\(488\) | −3.04972 | − | 3.82423i | −0.138055 | − | 0.173115i | ||||
\(489\) | 0.439554 | − | 9.27763i | 0.0198773 | − | 0.419549i | ||||
\(490\) | −2.16888 | − | 2.36380i | −0.0979801 | − | 0.106786i | ||||
\(491\) | −8.41185 | − | 4.85658i | −0.379621 | − | 0.219175i | 0.298032 | − | 0.954556i | \(-0.403670\pi\) |
−0.677654 | + | 0.735381i | \(0.737003\pi\) | |||||||
\(492\) | −12.7486 | + | 9.21449i | −0.574750 | + | 0.415421i | ||||
\(493\) | 21.8694 | + | 1.63889i | 0.984949 | + | 0.0738117i | ||||
\(494\) | 1.91974 | + | 6.22365i | 0.0863732 | + | 0.280015i | ||||
\(495\) | −2.17513 | − | 0.372222i | −0.0977649 | − | 0.0167302i | ||||
\(496\) | −1.99800 | + | 4.14888i | −0.0897127 | + | 0.186290i | ||||
\(497\) | 16.5493 | + | 13.2732i | 0.742336 | + | 0.595387i | ||||
\(498\) | 2.06915 | − | 16.8562i | 0.0927208 | − | 0.755343i | ||||
\(499\) | 11.8870 | + | 1.79167i | 0.532134 | + | 0.0802062i | 0.409612 | − | 0.912260i | \(-0.365664\pi\) |
0.122521 | + | 0.992466i | \(0.460902\pi\) | |||||||
\(500\) | 4.63030 | + | 2.22983i | 0.207073 | + | 0.0997212i | ||||
\(501\) | 26.4034 | − | 19.0840i | 1.17962 | − | 0.852612i | ||||
\(502\) | −1.92197 | + | 0.438677i | −0.0857818 | + | 0.0195791i | ||||
\(503\) | 20.4489 | + | 25.6421i | 0.911771 | + | 1.14332i | 0.989236 | + | 0.146330i | \(0.0467460\pi\) |
−0.0774648 | + | 0.996995i | \(0.524683\pi\) | |||||||
\(504\) | 22.4913 | − | 6.38297i | 1.00184 | − | 0.284320i | ||||
\(505\) | −1.38792 | + | 1.74039i | −0.0617615 | + | 0.0774465i | ||||
\(506\) | −0.664105 | + | 1.37903i | −0.0295231 | + | 0.0613053i | ||||
\(507\) | −6.85908 | + | 18.9942i | −0.304622 | + | 0.843562i | ||||
\(508\) | 4.74924 | 0.210713 | ||||||||
\(509\) | −13.3242 | − | 23.0782i | −0.590585 | − | 1.02292i | −0.994154 | − | 0.107974i | \(-0.965564\pi\) |
0.403569 | − | 0.914949i | \(-0.367770\pi\) | |||||||
\(510\) | −0.332512 | − | 1.85833i | −0.0147239 | − | 0.0822880i | ||||
\(511\) | 7.71947 | − | 11.2548i | 0.341489 | − | 0.497884i | ||||
\(512\) | 6.75028 | + | 1.54071i | 0.298323 | + | 0.0680903i | ||||
\(513\) | −19.3188 | − | 23.8522i | −0.852946 | − | 1.05310i | ||||
\(514\) | 0.389535 | − | 2.58440i | 0.0171817 | − | 0.113993i | ||||
\(515\) | −2.82804 | + | 1.10992i | −0.124618 | + | 0.0489091i | ||||
\(516\) | −12.3632 | + | 12.1197i | −0.544259 | + | 0.533542i | ||||
\(517\) | −10.4152 | + | 11.2250i | −0.458062 | + | 0.493673i | ||||
\(518\) | −22.8035 | − | 1.77283i | −1.00193 | − | 0.0778938i | ||||
\(519\) | −19.7261 | − | 23.3885i | −0.865879 | − | 1.02664i | ||||
\(520\) | 1.64132 | 0.0719767 | ||||||||
\(521\) | 3.95396 | + | 6.84846i | 0.173226 | + | 0.300036i | 0.939546 | − | 0.342423i | \(-0.111248\pi\) |
−0.766320 | + | 0.642459i | \(0.777914\pi\) | |||||||
\(522\) | 3.40756 | + | 26.1222i | 0.149145 | + | 1.14334i | ||||
\(523\) | −5.05945 | − | 7.42086i | −0.221234 | − | 0.324491i | 0.699535 | − | 0.714598i | \(-0.253390\pi\) |
−0.920770 | + | 0.390107i | \(0.872438\pi\) | |||||||
\(524\) | 11.8402 | + | 1.78462i | 0.517240 | + | 0.0779614i | ||||
\(525\) | −16.3800 | − | 14.4631i | −0.714882 | − | 0.631223i | ||||
\(526\) | −7.01589 | + | 1.05747i | −0.305907 | + | 0.0461081i | ||||
\(527\) | 12.0421 | + | 12.9783i | 0.524563 | + | 0.565345i | ||||
\(528\) | 0.959291 | + | 1.32721i | 0.0417478 | + | 0.0577595i | ||||
\(529\) | 18.0898 | − | 12.3334i | 0.786512 | − | 0.536235i | ||||
\(530\) | 1.74255 | + | 4.43994i | 0.0756914 | + | 0.192858i | ||||
\(531\) | 1.96473 | − | 11.4812i | 0.0852620 | − | 0.498240i | ||||
\(532\) | −15.9215 | + | 6.19754i | −0.690283 | + | 0.268697i | ||||
\(533\) | 9.59188 | − | 0.718812i | 0.415470 | − | 0.0311352i | ||||
\(534\) | 9.30941 | − | 3.95195i | 0.402858 | − | 0.171018i | ||||
\(535\) | −0.539854 | − | 0.123218i | −0.0233399 | − | 0.00532718i | ||||
\(536\) | 12.3803 | + | 25.7081i | 0.534750 | + | 1.11042i | ||||
\(537\) | 13.6383 | − | 1.39950i | 0.588538 | − | 0.0603929i | ||||
\(538\) | −1.63699 | + | 0.945117i | −0.0705757 | + | 0.0407469i | ||||
\(539\) | 7.32085 | − | 7.80228i | 0.315331 | − | 0.336068i | ||||
\(540\) | −2.53714 | + | 1.01799i | −0.109181 | + | 0.0438074i | ||||
\(541\) | 22.0423 | − | 3.32234i | 0.947671 | − | 0.142838i | 0.343019 | − | 0.939328i | \(-0.388550\pi\) |
0.604652 | + | 0.796490i | \(0.293312\pi\) | |||||||
\(542\) | 0.939871 | − | 12.5417i | 0.0403709 | − | 0.538713i | ||||
\(543\) | −39.5622 | + | 10.1802i | −1.69778 | + | 0.436873i | ||||
\(544\) | 7.10327 | − | 10.4186i | 0.304550 | − | 0.446693i | ||||
\(545\) | 4.18639 | − | 2.85423i | 0.179325 | − | 0.122262i | ||||
\(546\) | −4.86339 | − | 1.36973i | −0.208134 | − | 0.0586190i | ||||
\(547\) | 16.8870 | + | 11.5134i | 0.722037 | + | 0.492276i | 0.867719 | − | 0.497055i | \(-0.165585\pi\) |
−0.145682 | + | 0.989331i | \(0.546538\pi\) | |||||||
\(548\) | 19.8019 | − | 7.77168i | 0.845896 | − | 0.331990i | ||||
\(549\) | −2.40463 | − | 4.36305i | −0.102627 | − | 0.186210i | ||||
\(550\) | 2.53558 | − | 6.46056i | 0.108118 | − | 0.275479i | ||||
\(551\) | −12.1210 | − | 53.1057i | −0.516374 | − | 2.26238i | ||||
\(552\) | 0.547669 | + | 5.33712i | 0.0233103 | + | 0.227163i | ||||
\(553\) | 32.4960 | + | 15.7610i | 1.38187 | + | 0.670226i | ||||
\(554\) | 11.2238 | − | 4.40501i | 0.476853 | − | 0.187151i | ||||
\(555\) | 7.56451 | − | 0.207754i | 0.321096 | − | 0.00881868i | ||||
\(556\) | 2.96918 | − | 9.62583i | 0.125921 | − | 0.408226i | ||||
\(557\) | 28.3317 | − | 16.3573i | 1.20045 | − | 0.693083i | 0.239798 | − | 0.970823i | \(-0.422919\pi\) |
0.960656 | + | 0.277740i | \(0.0895854\pi\) | |||||||
\(558\) | −12.3271 | + | 17.3298i | −0.521847 | + | 0.733631i | ||||
\(559\) | 10.3213 | − | 2.35576i | 0.436543 | − | 0.0996382i | ||||
\(560\) | −0.0566707 | − | 0.785605i | −0.00239478 | − | 0.0331979i | ||||
\(561\) | 6.09745 | − | 1.56900i | 0.257434 | − | 0.0662432i | ||||
\(562\) | 11.2098 | − | 3.45775i | 0.472855 | − | 0.145856i | ||||
\(563\) | −9.62103 | + | 12.0644i | −0.405478 | + | 0.508453i | −0.942083 | − | 0.335380i | \(-0.891135\pi\) |
0.536605 | + | 0.843834i | \(0.319707\pi\) | |||||||
\(564\) | −3.71178 | + | 18.6028i | −0.156294 | + | 0.783319i | ||||
\(565\) | −5.68158 | − | 1.29678i | −0.239026 | − | 0.0545561i | ||||
\(566\) | −4.94892 | + | 21.6826i | −0.208018 | + | 0.911389i | ||||
\(567\) | 23.6755 | − | 2.54398i | 0.994277 | − | 0.106837i | ||||
\(568\) | 5.25558 | + | 23.0262i | 0.220519 | + | 0.966159i | ||||
\(569\) | − | 10.3724i | − | 0.434835i | −0.976079 | − | 0.217417i | \(-0.930237\pi\) | ||
0.976079 | − | 0.217417i | \(-0.0697633\pi\) | |||||||
\(570\) | −4.16720 | + | 2.14970i | −0.174545 | + | 0.0900410i | ||||
\(571\) | 3.17750 | + | 13.9215i | 0.132974 | + | 0.582598i | 0.996879 | + | 0.0789432i | \(0.0251546\pi\) |
−0.863905 | + | 0.503655i | \(0.831988\pi\) | |||||||
\(572\) | 0.144571 | + | 1.92917i | 0.00604482 | + | 0.0806626i | ||||
\(573\) | 5.92022 | + | 1.18125i | 0.247321 | + | 0.0493475i | ||||
\(574\) | −3.06184 | − | 20.7055i | −0.127799 | − | 0.864232i | ||||
\(575\) | 3.92048 | − | 3.12648i | 0.163495 | − | 0.130383i | ||||
\(576\) | 17.4143 | + | 7.23743i | 0.725596 | + | 0.301560i | ||||
\(577\) | −41.2972 | − | 16.2080i | −1.71923 | − | 0.674747i | −0.719423 | − | 0.694572i | \(-0.755594\pi\) |
−0.999803 | + | 0.0198250i | \(0.993689\pi\) | |||||||
\(578\) | −6.08520 | − | 8.92535i | −0.253111 | − | 0.371246i | ||||
\(579\) | 1.28602 | − | 6.44529i | 0.0534451 | − | 0.267857i | ||||
\(580\) | −4.83785 | − | 0.362547i | −0.200881 | − | 0.0150539i | ||||
\(581\) | −22.4653 | − | 15.4085i | −0.932019 | − | 0.639254i | ||||
\(582\) | 3.49045 | + | 5.67959i | 0.144684 | + | 0.235427i | ||||
\(583\) | −14.3318 | + | 6.90183i | −0.593563 | + | 0.285845i | ||||
\(584\) | 14.5192 | − | 4.47857i | 0.600807 | − | 0.185324i | ||||
\(585\) | 1.64771 | + | 0.281967i | 0.0681246 | + | 0.0116579i | ||||
\(586\) | 0.779047 | + | 5.16864i | 0.0321821 | + | 0.213514i | ||||
\(587\) | −13.1021 | − | 22.6936i | −0.540783 | − | 0.936663i | −0.998859 | − | 0.0477505i | \(-0.984795\pi\) |
0.458077 | − | 0.888913i | \(-0.348539\pi\) | |||||||
\(588\) | 2.66590 | − | 12.9833i | 0.109940 | − | 0.535421i | ||||
\(589\) | 21.9872 | − | 38.0829i | 0.905966 | − | 1.56918i | ||||
\(590\) | −1.65641 | − | 0.650091i | −0.0681931 | − | 0.0267638i | ||||
\(591\) | −1.47070 | − | 1.10818i | −0.0604965 | − | 0.0455845i | ||||
\(592\) | −4.11655 | − | 3.81960i | −0.169189 | − | 0.156985i | ||||
\(593\) | 2.01817 | − | 26.9305i | 0.0828761 | − | 1.10590i | −0.788417 | − | 0.615141i | \(-0.789099\pi\) |
0.871293 | − | 0.490763i | \(-0.163282\pi\) | |||||||
\(594\) | 3.33294 | + | 6.78892i | 0.136752 | + | 0.278553i | ||||
\(595\) | −2.89123 | − | 0.900661i | −0.118529 | − | 0.0369235i | ||||
\(596\) | −0.163829 | + | 0.240294i | −0.00671071 | + | 0.00984281i | ||||
\(597\) | 0.653875 | + | 1.93001i | 0.0267613 | + | 0.0789900i | ||||
\(598\) | 0.503075 | − | 1.04465i | 0.0205723 | − | 0.0427188i | ||||
\(599\) | 23.8077 | − | 18.9860i | 0.972758 | − | 0.775749i | −0.00177366 | − | 0.999998i | \(-0.500565\pi\) |
0.974532 | + | 0.224250i | \(0.0719931\pi\) | |||||||
\(600\) | −4.28488 | − | 23.9472i | −0.174930 | − | 0.977639i | ||||
\(601\) | 12.0262 | + | 4.71994i | 0.490559 | + | 0.192530i | 0.597710 | − | 0.801712i | \(-0.296077\pi\) |
−0.107151 | + | 0.994243i | \(0.534173\pi\) | |||||||
\(602\) | −6.72886 | − | 22.0323i | −0.274248 | − | 0.897971i | ||||
\(603\) | 8.01211 | + | 27.9350i | 0.326278 | + | 1.13760i | ||||
\(604\) | 8.76283 | − | 5.97440i | 0.356555 | − | 0.243095i | ||||
\(605\) | 3.98437 | + | 1.22901i | 0.161988 | + | 0.0499665i | ||||
\(606\) | 7.62051 | + | 0.361043i | 0.309562 | + | 0.0146664i | ||||
\(607\) | −14.0839 | + | 8.13134i | −0.571648 | + | 0.330041i | −0.757807 | − | 0.652479i | \(-0.773729\pi\) |
0.186159 | + | 0.982520i | \(0.440396\pi\) | |||||||
\(608\) | −29.9283 | − | 9.23167i | −1.21375 | − | 0.374394i | ||||
\(609\) | 39.7051 | + | 14.4633i | 1.60893 | + | 0.586084i | ||||
\(610\) | −0.727232 | + | 0.224321i | −0.0294448 | + | 0.00908251i | ||||
\(611\) | 7.88979 | − | 8.50318i | 0.319187 | − | 0.344002i | ||||
\(612\) | 5.41775 | − | 5.61093i | 0.218999 | − | 0.226809i | ||||
\(613\) | −5.68883 | − | 0.857454i | −0.229770 | − | 0.0346322i | 0.0331480 | − | 0.999450i | \(-0.489447\pi\) |
−0.262918 | + | 0.964818i | \(0.584685\pi\) | |||||||
\(614\) | 2.32339 | − | 10.1794i | 0.0937644 | − | 0.410809i | ||||
\(615\) | 1.72573 | + | 6.70652i | 0.0695880 | + | 0.270433i | ||||
\(616\) | 11.7833 | − | 1.74246i | 0.474761 | − | 0.0702056i | ||||
\(617\) | −13.5987 | + | 44.0859i | −0.547464 | + | 1.77483i | 0.0806845 | + | 0.996740i | \(0.474289\pi\) |
−0.628148 | + | 0.778094i | \(0.716187\pi\) | |||||||
\(618\) | 8.76053 | + | 5.62687i | 0.352400 | + | 0.226346i | ||||
\(619\) | −36.9208 | − | 21.3163i | −1.48397 | − | 0.856773i | −0.484140 | − | 0.874991i | \(-0.660867\pi\) |
−0.999834 | + | 0.0182179i | \(0.994201\pi\) | |||||||
\(620\) | −2.66390 | − | 2.87101i | −0.106985 | − | 0.115302i | ||||
\(621\) | −0.367076 | + | 5.45199i | −0.0147302 | + | 0.218781i | ||||
\(622\) | −6.78078 | − | 5.40750i | −0.271885 | − | 0.216821i | ||||
\(623\) | 1.25744 | − | 16.1742i | 0.0503784 | − | 0.648004i | ||||
\(624\) | −0.726686 | − | 1.00539i | −0.0290907 | − | 0.0402480i | ||||
\(625\) | −15.8188 | + | 14.6777i | −0.632753 | + | 0.587109i | ||||
\(626\) | −7.28441 | − | 9.13436i | −0.291143 | − | 0.365082i | ||||
\(627\) | −8.18795 | − | 13.3233i | −0.326995 | − | 0.532081i | ||||
\(628\) | 11.1264 | + | 8.87301i | 0.443992 | + | 0.354072i | ||||
\(629\) | −19.4523 | + | 9.36774i | −0.775615 | + | 0.373516i | ||||
\(630\) | 0.354005 | − | 3.62032i | 0.0141039 | − | 0.144237i | ||||
\(631\) | −39.2556 | − | 18.9045i | −1.56274 | − | 0.752576i | −0.565355 | − | 0.824848i | \(-0.691261\pi\) |
−0.997385 | + | 0.0722718i | \(0.976975\pi\) | |||||||
\(632\) | 17.4460 | + | 36.2269i | 0.693963 | + | 1.44103i | ||||
\(633\) | −24.8123 | − | 6.91357i | −0.986202 | − | 0.274790i | ||||
\(634\) | 6.65347 | − | 3.20414i | 0.264243 | − | 0.127253i | ||||
\(635\) | 0.763859 | − | 1.94628i | 0.0303128 | − | 0.0772358i | ||||
\(636\) | −10.6495 | + | 16.5804i | −0.422282 | + | 0.657455i | ||||
\(637\) | −5.54571 | + | 5.91041i | −0.219729 | + | 0.234179i | ||||
\(638\) | 13.4215i | 0.531362i | ||||||||
\(639\) | 1.32032 | + | 24.0188i | 0.0522309 | + | 0.950168i | ||||
\(640\) | −1.25196 | + | 1.83629i | −0.0494880 | + | 0.0725856i | ||||
\(641\) | −0.830986 | + | 0.895589i | −0.0328220 | + | 0.0353737i | −0.749249 | − | 0.662288i | \(-0.769586\pi\) |
0.716427 | + | 0.697662i | \(0.245776\pi\) | |||||||
\(642\) | 0.741566 | + | 1.74687i | 0.0292673 | + | 0.0689435i | ||||
\(643\) | 12.5894 | + | 18.4652i | 0.496477 | + | 0.728197i | 0.989927 | − | 0.141576i | \(-0.0452171\pi\) |
−0.493451 | + | 0.869774i | \(0.664265\pi\) | |||||||
\(644\) | 2.82820 | + | 1.11910i | 0.111447 | + | 0.0440986i | ||||
\(645\) | 2.97831 | + | 7.01586i | 0.117271 | + | 0.276249i | ||||
\(646\) | 8.34117 | − | 10.4595i | 0.328179 | − | 0.411523i | ||||
\(647\) | 0.944455 | + | 12.6029i | 0.0371304 | + | 0.495470i | 0.984507 | + | 0.175348i | \(0.0561050\pi\) |
−0.947376 | + | 0.320122i | \(0.896276\pi\) | |||||||
\(648\) | 22.4131 | + | 14.1573i | 0.880469 | + | 0.556150i | ||||
\(649\) | 1.74921 | − | 5.67081i | 0.0686626 | − | 0.222599i | ||||
\(650\) | −1.92076 | + | 4.89403i | −0.0753386 | + | 0.191960i | ||||
\(651\) | 15.5551 | + | 30.3612i | 0.609654 | + | 1.18995i | ||||
\(652\) | −2.14168 | − | 5.45692i | −0.0838747 | − | 0.213709i | ||||
\(653\) | −24.5723 | + | 1.84144i | −0.961590 | + | 0.0720612i | −0.546265 | − | 0.837612i | \(-0.683951\pi\) |
−0.415325 | + | 0.909673i | \(0.636332\pi\) | |||||||
\(654\) | −16.3326 | − | 5.89792i | −0.638653 | − | 0.230627i | ||||
\(655\) | 2.63570 | − | 4.56517i | 0.102985 | − | 0.178376i | ||||
\(656\) | 2.56947 | − | 4.45045i | 0.100321 | − | 0.173761i | ||||
\(657\) | 15.3451 | − | 2.00172i | 0.598669 | − | 0.0780947i | ||||
\(658\) | −19.6904 | − | 15.7926i | −0.767613 | − | 0.615660i | ||||
\(659\) | 2.42964 | + | 7.87671i | 0.0946454 | + | 0.306833i | 0.990500 | − | 0.137515i | \(-0.0439115\pi\) |
−0.895854 | + | 0.444348i | \(0.853435\pi\) | |||||||
\(660\) | −1.34885 | + | 0.347087i | −0.0525039 | + | 0.0135103i | ||||
\(661\) | −19.4794 | − | 15.5343i | −0.757663 | − | 0.604216i | 0.166577 | − | 0.986028i | \(-0.446729\pi\) |
−0.924240 | + | 0.381813i | \(0.875300\pi\) | |||||||
\(662\) | 12.1466 | + | 9.68656i | 0.472090 | + | 0.376479i | ||||
\(663\) | −4.61896 | + | 1.18855i | −0.179386 | + | 0.0461596i | ||||
\(664\) | −8.93950 | − | 28.9811i | −0.346920 | − | 1.12469i | ||||
\(665\) | −0.0209711 | + | 7.52156i | −0.000813224 | + | 0.291673i | ||||
\(666\) | −15.7637 | − | 20.5941i | −0.610829 | − | 0.798005i | ||||
\(667\) | −4.84861 | + | 8.39804i | −0.187739 | + | 0.325173i | ||||
\(668\) | 10.2809 | − | 17.8070i | 0.397778 | − | 0.688973i | ||||
\(669\) | −34.8236 | − | 12.5753i | −1.34636 | − | 0.486189i | ||||
\(670\) | 4.42712 | − | 0.331767i | 0.171035 | − | 0.0128173i | ||||
\(671\) | −0.927284 | − | 2.36268i | −0.0357974 | − | 0.0912103i | ||||
\(672\) | 18.6167 | − | 15.6129i | 0.718153 | − | 0.602279i | ||||
\(673\) | 3.93161 | − | 10.0176i | 0.151553 | − | 0.386150i | −0.834854 | − | 0.550471i | \(-0.814448\pi\) |
0.986407 | + | 0.164321i | \(0.0525434\pi\) | |||||||
\(674\) | 5.60805 | − | 18.1808i | 0.216014 | − | 0.700300i | ||||
\(675\) | −0.187623 | − | 24.7765i | −0.00722161 | − | 0.953650i | ||||
\(676\) | 0.952502 | + | 12.7103i | 0.0366347 | + | 0.488856i | ||||
\(677\) | 28.3754 | − | 35.5817i | 1.09056 | − | 1.36751i | 0.166153 | − | 0.986100i | \(-0.446866\pi\) |
0.924404 | − | 0.381415i | \(-0.124563\pi\) | |||||||
\(678\) | 7.80447 | + | 18.3846i | 0.299729 | + | 0.706056i | ||||
\(679\) | 10.6658 | − | 0.769393i | 0.409316 | − | 0.0295266i | ||||
\(680\) | −1.89918 | − | 2.78558i | −0.0728301 | − | 0.106822i | ||||
\(681\) | −0.542557 | − | 1.27807i | −0.0207908 | − | 0.0489759i | ||||
\(682\) | −7.36971 | + | 7.94266i | −0.282201 | + | 0.304140i | ||||
\(683\) | 11.5292 | − | 16.9103i | 0.441154 | − | 0.647053i | −0.539687 | − | 0.841866i | \(-0.681457\pi\) |
0.980841 | + | 0.194812i | \(0.0624098\pi\) | |||||||
\(684\) | −17.2836 | − | 8.75091i | −0.660857 | − | 0.334599i | ||||
\(685\) | − | 9.36499i | − | 0.357818i | ||||||
\(686\) | 13.6961 | + | 11.1110i | 0.522921 | + | 0.424219i | ||||
\(687\) | −9.74908 | + | 15.1785i | −0.371950 | + | 0.579094i | ||||
\(688\) | 2.06639 | − | 5.26509i | 0.0787805 | − | 0.200730i | ||||
\(689\) | 10.8567 | − | 5.22830i | 0.413607 | − | 0.199182i | ||||
\(690\) | 0.804124 | + | 0.224056i | 0.0306125 | + | 0.00852968i | ||||
\(691\) | −6.84514 | − | 14.2141i | −0.260401 | − | 0.540729i | 0.729246 | − | 0.684252i | \(-0.239871\pi\) |
−0.989647 | + | 0.143523i | \(0.954157\pi\) | |||||||
\(692\) | −17.3985 | − | 8.37868i | −0.661392 | − | 0.318510i | ||||
\(693\) | 12.1285 | + | 0.275038i | 0.460724 | + | 0.0104478i | ||||
\(694\) | −7.21275 | + | 3.47348i | −0.273792 | + | 0.131851i | ||||
\(695\) | −3.46719 | − | 2.76500i | −0.131518 | − | 0.104882i | ||||
\(696\) | 24.6324 | + | 40.0815i | 0.933690 | + | 1.51928i | ||||
\(697\) | −12.3187 | − | 15.4472i | −0.466605 | − | 0.585104i | ||||
\(698\) | −11.8839 | + | 11.0267i | −0.449813 | + | 0.417366i | ||||
\(699\) | 14.2414 | + | 19.7035i | 0.538659 | + | 0.745253i | ||||
\(700\) | −13.1675 | − | 4.10186i | −0.497683 | − | 0.155036i | ||||
\(701\) | 10.9830 | + | 8.75868i | 0.414823 | + | 0.330811i | 0.808561 | − | 0.588412i | \(-0.200247\pi\) |
−0.393738 | + | 0.919223i | \(0.628818\pi\) | |||||||
\(702\) | −2.52478 | − | 5.14277i | −0.0952916 | − | 0.194101i | ||||
\(703\) | 36.4751 | + | 39.3108i | 1.37568 | + | 1.48263i | ||||
\(704\) | 8.32075 | + | 4.80398i | 0.313600 | + | 0.181057i | ||||
\(705\) | 7.02659 | + | 4.51316i | 0.264637 | + | 0.169975i | ||||
\(706\) | −8.75941 | + | 28.3973i | −0.329665 | + | 1.06875i | ||||
\(707\) | 6.14837 | − | 10.5811i | 0.231233 | − | 0.397941i | ||||
\(708\) | −1.83206 | − | 7.11974i | −0.0688529 | − | 0.267576i | ||||
\(709\) | 8.26296 | − | 36.2024i | 0.310322 | − | 1.35961i | −0.543659 | − | 0.839306i | \(-0.682961\pi\) |
0.853981 | − | 0.520304i | \(-0.174181\pi\) | |||||||
\(710\) | 3.63371 | + | 0.547693i | 0.136371 | + | 0.0205546i | ||||
\(711\) | 11.2904 | + | 39.3651i | 0.423422 | + | 1.47631i | ||||
\(712\) | 12.2847 | − | 13.2398i | 0.460390 | − | 0.496182i | ||||
\(713\) | −7.48069 | + | 2.30749i | −0.280154 | + | 0.0864161i | ||||
\(714\) | 3.30279 | + | 9.83884i | 0.123604 | + | 0.368209i | ||||
\(715\) | 0.813843 | + | 0.251037i | 0.0304360 | + | 0.00938826i | ||||
\(716\) | 7.49375 | − | 4.32652i | 0.280054 | − | 0.161690i | ||||
\(717\) | −52.0871 | − | 2.46777i | −1.94523 | − | 0.0921606i | ||||
\(718\) | −16.0189 | − | 4.94116i | −0.597818 | − | 0.184402i | ||||
\(719\) | 31.3531 | − | 21.3762i | 1.16927 | − | 0.797197i | 0.186580 | − | 0.982440i | \(-0.440260\pi\) |
0.982693 | + | 0.185243i | \(0.0593072\pi\) | |||||||
\(720\) | 0.620365 | − | 0.642486i | 0.0231196 | − | 0.0239440i | ||||
\(721\) | 14.4873 | − | 8.31049i | 0.539536 | − | 0.309499i | ||||
\(722\) | −14.0893 | − | 5.52965i | −0.524350 | − | 0.205792i | ||||
\(723\) | −2.05172 | − | 11.4665i | −0.0763042 | − | 0.426446i | ||||
\(724\) | −20.1580 | + | 16.0755i | −0.749167 | + | 0.597441i | ||||
\(725\) | 19.0782 | − | 39.6162i | 0.708546 | − | 1.47131i | ||||
\(726\) | −4.58535 | − | 13.5344i | −0.170178 | − | 0.502307i | ||||
\(727\) | 15.8103 | − | 23.1895i | 0.586372 | − | 0.860050i | −0.412327 | − | 0.911036i | \(-0.635284\pi\) |
0.998699 | + | 0.0509856i | \(0.0162362\pi\) | |||||||
\(728\) | −8.92610 | + | 1.31995i | −0.330823 | + | 0.0489207i | ||||
\(729\) | 20.0683 | + | 18.0628i | 0.743269 | + | 0.668993i | ||||
\(730\) | 0.176665 | − | 2.35743i | 0.00653868 | − | 0.0872526i | ||||
\(731\) | −15.9409 | − | 14.7910i | −0.589594 | − | 0.547063i | ||||
\(732\) | −2.51118 | − | 1.89219i | −0.0928159 | − | 0.0699373i | ||||
\(733\) | 16.9644 | + | 6.65805i | 0.626595 | + | 0.245921i | 0.657325 | − | 0.753607i | \(-0.271688\pi\) |
−0.0307297 | + | 0.999528i | \(0.509783\pi\) | |||||||
\(734\) | 1.22737 | − | 2.12586i | 0.0453030 | − | 0.0784671i | ||||
\(735\) | −4.89188 | − | 3.18071i | −0.180440 | − | 0.117322i | ||||
\(736\) | 2.78784 | + | 4.82867i | 0.102761 | + | 0.177987i | ||||
\(737\) | 2.20674 | + | 14.6408i | 0.0812865 | + | 0.539301i | ||||
\(738\) | 15.1634 | − | 18.2575i | 0.558173 | − | 0.672066i | ||||
\(739\) | −43.4148 | + | 13.3917i | −1.59704 | + | 0.492621i | −0.960419 | − | 0.278558i | \(-0.910144\pi\) |
−0.636619 | + | 0.771179i | \(0.719667\pi\) | |||||||
\(740\) | 4.30315 | − | 2.07229i | 0.158187 | − | 0.0761789i | ||||
\(741\) | 6.20256 | + | 10.0927i | 0.227857 | + | 0.370765i | ||||
\(742\) | −13.0472 | − | 22.7446i | −0.478978 | − | 0.834982i | ||||
\(743\) | −4.79145 | − | 0.359069i | −0.175781 | − | 0.0131730i | −0.0134513 | − | 0.999910i | \(-0.504282\pi\) |
−0.162330 | + | 0.986737i | \(0.551901\pi\) | |||||||
\(744\) | −7.43150 | + | 37.2453i | −0.272452 | + | 1.36548i | ||||
\(745\) | 0.0721244 | + | 0.105787i | 0.00264244 | + | 0.00387574i | ||||
\(746\) | −11.7730 | − | 4.62058i | −0.431042 | − | 0.169172i | ||||
\(747\) | −3.99556 | − | 30.6298i | −0.146190 | − | 1.12068i | ||||
\(748\) | 3.10682 | − | 2.47760i | 0.113596 | − | 0.0905902i | ||||
\(749\) | 3.03501 | + | 0.235954i | 0.110897 | + | 0.00862158i | ||||
\(750\) | −7.60413 | − | 1.51724i | −0.277663 | − | 0.0554018i | ||||
\(751\) | 2.86630 | + | 38.2482i | 0.104593 | + | 1.39570i | 0.764634 | + | 0.644465i | \(0.222920\pi\) |
−0.660041 | + | 0.751230i | \(0.729461\pi\) | |||||||
\(752\) | −1.37902 | − | 6.04189i | −0.0502878 | − | 0.220325i | ||||
\(753\) | −3.18668 | + | 1.64389i | −0.116129 | + | 0.0599066i | ||||
\(754\) | − | 10.1671i | − | 0.370264i | ||||||
\(755\) | −1.03896 | − | 4.55200i | −0.0378118 | − | 0.165664i | ||||
\(756\) | 12.9792 | − | 7.57658i | 0.472049 | − | 0.275557i | ||||
\(757\) | 4.03640 | − | 17.6846i | 0.146705 | − | 0.642759i | −0.847082 | − | 0.531462i | \(-0.821643\pi\) |
0.993787 | − | 0.111296i | \(-0.0355002\pi\) | |||||||
\(758\) | −6.11436 | − | 1.39556i | −0.222084 | − | 0.0506891i | ||||
\(759\) | −0.544743 | + | 2.73015i | −0.0197729 | + | 0.0990983i | ||||
\(760\) | −5.22102 | + | 6.54695i | −0.189386 | + | 0.237483i | ||||
\(761\) | −47.3571 | + | 14.6077i | −1.71670 | + | 0.529530i | −0.987885 | − | 0.155186i | \(-0.950402\pi\) |
−0.728810 | + | 0.684716i | \(0.759926\pi\) | |||||||
\(762\) | −6.93952 | + | 1.78568i | −0.251392 | + | 0.0646884i | ||||
\(763\) | −20.4717 | + | 18.8890i | −0.741127 | + | 0.683830i | ||||
\(764\) | 3.71467 | − | 0.847848i | 0.134392 | − | 0.0306741i | ||||
\(765\) | −1.42803 | − | 3.12269i | −0.0516306 | − | 0.112901i | ||||
\(766\) | −30.7549 | + | 17.7564i | −1.11122 | + | 0.641564i | ||||
\(767\) | −1.32507 | + | 4.29577i | −0.0478455 | + | 0.155111i | ||||
\(768\) | 29.3815 | − | 0.806943i | 1.06021 | − | 0.0291180i | ||||
\(769\) | 3.80749 | − | 1.49433i | 0.137302 | − | 0.0538869i | −0.295695 | − | 0.955282i | \(-0.595551\pi\) |
0.432997 | + | 0.901395i | \(0.357456\pi\) | |||||||
\(770\) | 0.417429 | − | 1.80566i | 0.0150431 | − | 0.0650714i | ||||
\(771\) | −0.485261 | − | 4.72894i | −0.0174762 | − | 0.170309i | ||||
\(772\) | −0.923045 | − | 4.04412i | −0.0332211 | − | 0.145551i | ||||
\(773\) | −3.01584 | + | 7.68424i | −0.108472 | + | 0.276383i | −0.974795 | − | 0.223101i | \(-0.928382\pi\) |
0.866323 | + | 0.499484i | \(0.166477\pi\) | |||||||
\(774\) | 13.5079 | − | 22.3577i | 0.485533 | − | 0.803630i | ||||
\(775\) | 33.0434 | − | 12.9686i | 1.18695 | − | 0.465845i | ||||
\(776\) | 9.83654 | + | 6.70644i | 0.353111 | + | 0.240747i | ||||
\(777\) | −40.9715 | + | 7.21323i | −1.46984 | + | 0.258773i | ||||
\(778\) | −2.96128 | + | 2.01897i | −0.106167 | + | 0.0723835i | ||||
\(779\) | −27.6444 | + | 40.5469i | −0.990463 | + | 1.45274i | ||||
\(780\) | 1.02179 | − | 0.262927i | 0.0365858 | − | 0.00941429i | ||||
\(781\) | −0.915859 | + | 12.2213i | −0.0327720 | + | 0.437312i | ||||
\(782\) | −2.35504 | + | 0.354965i | −0.0842160 | + | 0.0126935i | ||||
\(783\) | 17.8427 | + | 44.4693i | 0.637645 | + | 1.58920i | ||||
\(784\) | 0.939980 | + | 4.22683i | 0.0335707 | + | 0.150958i | ||||
\(785\) | 5.42579 | − | 3.13258i | 0.193655 | − | 0.111807i | ||||
\(786\) | −17.9717 | + | 1.84417i | −0.641028 | + | 0.0657792i | ||||
\(787\) | −8.58775 | − | 17.8326i | −0.306120 | − | 0.635665i | 0.689986 | − | 0.723822i | \(-0.257616\pi\) |
−0.996107 | + | 0.0881572i | \(0.971902\pi\) | |||||||
\(788\) | −1.13311 | − | 0.258624i | −0.0403652 | − | 0.00921309i | ||||
\(789\) | −11.8791 | + | 5.04279i | −0.422905 | + | 0.179528i | ||||
\(790\) | 6.23854 | − | 0.467514i | 0.221957 | − | 0.0166334i | ||||
\(791\) | 31.9414 | + | 2.48325i | 1.13570 | + | 0.0882943i | ||||
\(792\) | 10.3901 | + | 8.62932i | 0.369196 | + | 0.306629i | ||||
\(793\) | 0.702440 | + | 1.78979i | 0.0249444 | + | 0.0635572i | ||||
\(794\) | 26.5274 | − | 18.0861i | 0.941422 | − | 0.641850i | ||||
\(795\) | 5.08194 | + | 7.03104i | 0.180238 | + | 0.249365i | ||||
\(796\) | 0.874794 | + | 0.942803i | 0.0310062 | + | 0.0334168i | ||||
\(797\) | −23.0757 | + | 3.47811i | −0.817384 | + | 0.123201i | −0.544409 | − | 0.838820i | \(-0.683246\pi\) |
−0.272976 | + | 0.962021i | \(0.588008\pi\) | |||||||
\(798\) | 20.9340 | − | 15.0421i | 0.741054 | − | 0.532485i | ||||
\(799\) | −23.5605 | − | 3.55118i | −0.833511 | − | 0.125632i | ||||
\(800\) | −14.2419 | − | 20.8891i | −0.503528 | − | 0.738540i | ||||
\(801\) | 14.6071 | − | 11.1809i | 0.516116 | − | 0.395059i | ||||
\(802\) | −9.77350 | − | 16.9282i | −0.345114 | − | 0.597755i | ||||
\(803\) | 7.88426 | 0.278229 | ||||||||
\(804\) | 11.8255 | + | 14.0210i | 0.417052 | + | 0.494483i | ||||
\(805\) | 0.913499 | − | 0.979029i | 0.0321966 | − | 0.0345063i | ||||
\(806\) | 5.58273 | − | 6.01675i | 0.196643 | − | 0.211931i | ||||
\(807\) | −2.45514 | + | 2.40680i | −0.0864251 | + | 0.0847234i | ||||
\(808\) | 12.6826 | − | 4.97754i | 0.446171 | − | 0.175109i | ||||
\(809\) | −1.82351 | + | 12.0982i | −0.0641112 | + | 0.425350i | 0.933634 | + | 0.358229i | \(0.116619\pi\) |
−0.997745 | + | 0.0671209i | \(0.978619\pi\) | |||||||
\(810\) | 3.32447 | − | 2.44142i | 0.116810 | − | 0.0857828i | ||||
\(811\) | 23.3291 | + | 5.32472i | 0.819197 | + | 0.186976i | 0.611528 | − | 0.791223i | \(-0.290555\pi\) |
0.207669 | + | 0.978199i | \(0.433412\pi\) | |||||||
\(812\) | 26.6016 | − | 1.91894i | 0.933532 | − | 0.0673417i | ||||
\(813\) | −4.02917 | − | 22.5180i | −0.141309 | − | 0.789742i | ||||
\(814\) | −6.60661 | − | 11.4430i | −0.231562 | − | 0.401076i | ||||
\(815\) | −2.58076 | −0.0904000 | ||||||||
\(816\) | −0.865462 | + | 2.39664i | −0.0302972 | + | 0.0838993i | ||||
\(817\) | −23.4351 | + | 48.6634i | −0.819889 | + | 1.70252i | ||||
\(818\) | 10.3214 | − | 12.9426i | 0.360880 | − | 0.452529i | ||||
\(819\) | −9.18763 | − | 0.208348i | −0.321042 | − | 0.00728026i | ||||
\(820\) | 2.72509 | + | 3.41716i | 0.0951643 | + | 0.119332i | ||||
\(821\) | 8.36170 | − | 1.90850i | 0.291825 | − | 0.0666072i | −0.0741019 | − | 0.997251i | \(-0.523609\pi\) |
0.365927 | + | 0.930643i | \(0.380752\pi\) | |||||||
\(822\) | −26.0122 | + | 18.8013i | −0.907279 | + | 0.655769i | ||||
\(823\) | −2.18248 | − | 1.05103i | −0.0760765 | − | 0.0366365i | 0.395459 | − | 0.918484i | \(-0.370586\pi\) |
−0.471535 | + | 0.881847i | \(0.656300\pi\) | |||||||
\(824\) | 18.3865 | + | 2.77132i | 0.640524 | + | 0.0965434i | ||||
\(825\) | 1.53803 | − | 12.5295i | 0.0535475 | − | 0.436220i | ||||
\(826\) | 9.53094 | + | 2.20335i | 0.331624 | + | 0.0766644i | ||||
\(827\) | 18.3374 | − | 38.0779i | 0.637652 | − | 1.32410i | −0.292267 | − | 0.956337i | \(-0.594410\pi\) |
0.929920 | − | 0.367762i | \(-0.119876\pi\) | |||||||
\(828\) | 1.19591 | + | 3.23483i | 0.0415607 | + | 0.112418i | ||||
\(829\) | −14.4019 | − | 46.6900i | −0.500200 | − | 1.62161i | −0.755783 | − | 0.654822i | \(-0.772743\pi\) |
0.255582 | − | 0.966787i | \(-0.417733\pi\) | |||||||
\(830\) | −4.70558 | − | 0.352635i | −0.163333 | − | 0.0122401i | ||||
\(831\) | 17.7739 | − | 12.8467i | 0.616569 | − | 0.445648i | ||||
\(832\) | −6.30316 | − | 3.63913i | −0.218523 | − | 0.126164i | ||||
\(833\) | 16.4479 | + | 2.57300i | 0.569884 | + | 0.0891490i | ||||
\(834\) | −0.719266 | + | 15.1815i | −0.0249062 | + | 0.525693i | ||||
\(835\) | −5.64390 | − | 7.07723i | −0.195315 | − | 0.244918i | ||||
\(836\) | −8.15500 | − | 5.55998i | −0.282046 | − | 0.192296i | ||||
\(837\) | −13.8589 | + | 36.1137i | −0.479034 | + | 1.24827i | ||||
\(838\) | 20.6467 | + | 1.54726i | 0.713229 | + | 0.0534491i | ||||
\(839\) | −2.85208 | − | 38.0584i | −0.0984648 | − | 1.31392i | −0.799444 | − | 0.600740i | \(-0.794873\pi\) |
0.700980 | − | 0.713181i | \(-0.252746\pi\) | |||||||
\(840\) | −2.06732 | − | 6.15846i | −0.0713295 | − | 0.212487i | ||||
\(841\) | −4.18731 | + | 55.8757i | −0.144390 | + | 1.92675i | ||||
\(842\) | −1.70269 | + | 11.2966i | −0.0586784 | + | 0.389306i | ||||
\(843\) | 18.1785 | − | 11.1718i | 0.626102 | − | 0.384777i | ||||
\(844\) | −16.0753 | + | 2.42296i | −0.553334 | + | 0.0834016i | ||||
\(845\) | 5.36197 | + | 1.65395i | 0.184458 | + | 0.0568976i | ||||
\(846\) | −1.57092 | − | 28.5777i | −0.0540094 | − | 0.982522i | ||||
\(847\) | −22.6568 | − | 3.47960i | −0.778497 | − | 0.119560i | ||||
\(848\) | 0.959512 | − | 6.36595i | 0.0329498 | − | 0.218608i | ||||
\(849\) | 1.11057 | + | 40.4368i | 0.0381146 | + | 1.38779i | ||||
\(850\) | 10.5285 | − | 2.40305i | 0.361123 | − | 0.0824240i | ||||
\(851\) | − | 9.54675i | − | 0.327258i | ||||||
\(852\) | 6.96042 | + | 13.4928i | 0.238460 | + | 0.462256i | ||||
\(853\) | −6.64786 | − | 7.16469i | −0.227618 | − | 0.245314i | 0.608908 | − | 0.793241i | \(-0.291608\pi\) |
−0.836526 | + | 0.547927i | \(0.815417\pi\) | |||||||
\(854\) | 3.77455 | − | 1.80478i | 0.129163 | − | 0.0617583i | ||||
\(855\) | −6.36607 | + | 5.67551i | −0.217715 | + | 0.194098i | ||||
\(856\) | 2.48439 | + | 2.30518i | 0.0849148 | + | 0.0787894i | ||||
\(857\) | −5.21315 | − | 13.2829i | −0.178078 | − | 0.453735i | 0.813766 | − | 0.581192i | \(-0.197414\pi\) |
−0.991844 | + | 0.127458i | \(0.959318\pi\) | |||||||
\(858\) | −0.936600 | − | 2.76451i | −0.0319750 | − | 0.0943790i | ||||
\(859\) | −0.293627 | − | 0.951915i | −0.0100184 | − | 0.0324789i | 0.950426 | − | 0.310952i | \(-0.100648\pi\) |
−0.960444 | + | 0.278473i | \(0.910172\pi\) | |||||||
\(860\) | 3.52637 | + | 3.27199i | 0.120248 | + | 0.111574i | ||||
\(861\) | −14.7785 | − | 35.0846i | −0.503650 | − | 1.19568i | ||||
\(862\) | −0.975786 | + | 0.905397i | −0.0332354 | + | 0.0308380i | ||||
\(863\) | 19.9772 | + | 11.5338i | 0.680031 | + | 0.392616i | 0.799867 | − | 0.600178i | \(-0.204903\pi\) |
−0.119836 | + | 0.992794i | \(0.538237\pi\) | |||||||
\(864\) | 27.2727 | + | 3.89973i | 0.927838 | + | 0.132671i | ||||
\(865\) | −6.23201 | + | 5.78246i | −0.211895 | + | 0.196609i | ||||
\(866\) | −3.27497 | − | 1.57714i | −0.111288 | − | 0.0535935i | ||||
\(867\) | −14.7645 | − | 12.9636i | −0.501430 | − | 0.440268i | ||||
\(868\) | 16.7961 | + | 13.4713i | 0.570098 | + | 0.457244i | ||||
\(869\) | 3.10967 | + | 20.6313i | 0.105488 | + | 0.699869i | ||||
\(870\) | 7.20532 | − | 1.28925i | 0.244283 | − | 0.0437098i | ||||
\(871\) | −1.67166 | − | 11.0907i | −0.0566421 | − | 0.375796i | ||||
\(872\) | −30.9243 | + | 2.31746i | −1.04723 | + | 0.0784790i | ||||
\(873\) | 8.72274 | + | 8.42241i | 0.295220 | + | 0.285055i | ||||
\(874\) | 2.56664 | + | 5.32968i | 0.0868179 | + | 0.180279i | ||||
\(875\) | −7.78214 | + | 9.70287i | −0.263084 | + | 0.328017i | ||||
\(876\) | 8.32130 | − | 5.11393i | 0.281151 | − | 0.172784i | ||||
\(877\) | 21.7606 | + | 14.8361i | 0.734803 | + | 0.500980i | 0.871965 | − | 0.489568i | \(-0.162846\pi\) |
−0.137162 | + | 0.990549i | \(0.543798\pi\) | |||||||
\(878\) | 2.87959 | − | 12.6163i | 0.0971816 | − | 0.425780i | ||||
\(879\) | 3.71505 | + | 8.75135i | 0.125305 | + | 0.295176i | ||||
\(880\) | 0.355749 | − | 0.283700i | 0.0119923 | − | 0.00956354i | ||||
\(881\) | 21.9304 | 0.738854 | 0.369427 | − | 0.929260i | \(-0.379554\pi\) | ||||
0.369427 | + | 0.929260i | \(0.379554\pi\) | |||||||
\(882\) | 0.986256 | + | 19.9733i | 0.0332090 | + | 0.672537i | ||||
\(883\) | −5.91432 | −0.199033 | −0.0995164 | − | 0.995036i | \(-0.531730\pi\) | ||||
−0.0995164 | + | 0.995036i | \(0.531730\pi\) | |||||||
\(884\) | −2.35349 | + | 1.87684i | −0.0791563 | + | 0.0631251i | ||||
\(885\) | −3.21240 | − | 0.394332i | −0.107984 | − | 0.0132553i | ||||
\(886\) | −8.45755 | + | 37.0550i | −0.284137 | + | 1.24489i | ||||
\(887\) | 43.9786 | + | 29.9841i | 1.47666 | + | 1.00677i | 0.991180 | + | 0.132519i | \(0.0423067\pi\) |
0.485478 | + | 0.874249i | \(0.338646\pi\) | |||||||
\(888\) | −40.7311 | − | 22.0478i | −1.36685 | − | 0.739877i | ||||
\(889\) | −2.58894 | + | 11.1989i | −0.0868303 | + | 0.375598i | ||||
\(890\) | −1.21926 | − | 2.53183i | −0.0408698 | − | 0.0848671i | ||||
\(891\) | 8.94811 | + | 10.4479i | 0.299773 | + | 0.350017i | ||||
\(892\) | −23.3027 | + | 1.74630i | −0.780233 | + | 0.0584703i | ||||
\(893\) | 8.82039 | + | 58.5195i | 0.295163 | + | 1.95828i | ||||
\(894\) | 0.149036 | − | 0.412712i | 0.00498452 | − | 0.0138032i | ||||
\(895\) | −0.567765 | − | 3.76687i | −0.0189783 | − | 0.125913i | ||||
\(896\) | 5.33186 | − | 10.9932i | 0.178125 | − | 0.367258i | ||||
\(897\) | 0.412656 | − | 2.06816i | 0.0137782 | − | 0.0690537i | ||||
\(898\) | 23.7234 | + | 11.4246i | 0.791659 | + | 0.381243i | ||||
\(899\) | −50.3211 | + | 46.6911i | −1.67830 | + | 1.55724i | ||||
\(900\) | −6.50365 | − | 14.2216i | −0.216788 | − | 0.474054i | ||||
\(901\) | −21.4355 | − | 12.3758i | −0.714121 | − | 0.412298i | ||||
\(902\) | 8.86376 | − | 8.22437i | 0.295131 | − | 0.273841i | ||||
\(903\) | −21.8393 | − | 35.7596i | −0.726766 | − | 1.19001i | ||||
\(904\) | 26.1465 | + | 24.2604i | 0.869619 | + | 0.806889i | ||||
\(905\) | 3.34570 | + | 10.8465i | 0.111215 | + | 0.360549i | ||||
\(906\) | −10.5578 | + | 12.0245i | −0.350759 | + | 0.399486i | ||||
\(907\) | −17.2035 | − | 43.8339i | −0.571234 | − | 1.45548i | −0.866065 | − | 0.499931i | \(-0.833359\pi\) |
0.294831 | − | 0.955549i | \(-0.404737\pi\) | |||||||
\(908\) | −0.642396 | − | 0.596056i | −0.0213187 | − | 0.0197808i | ||||
\(909\) | 13.5871 | − | 2.81815i | 0.450654 | − | 0.0934722i | ||||
\(910\) | −0.316213 | + | 1.36783i | −0.0104823 | + | 0.0453431i | ||||
\(911\) | 0.524262 | + | 0.565020i | 0.0173696 | + | 0.0187199i | 0.741677 | − | 0.670757i | \(-0.234031\pi\) |
−0.724307 | + | 0.689477i | \(0.757840\pi\) | |||||||
\(912\) | 6.32192 | + | 0.299519i | 0.209340 | + | 0.00991805i | ||||
\(913\) | − | 15.7375i | − | 0.520834i | ||||||
\(914\) | 5.75008 | − | 1.31242i | 0.190196 | − | 0.0434110i | ||||
\(915\) | −1.17933 | + | 0.724768i | −0.0389874 | + | 0.0239601i | ||||
\(916\) | −1.69696 | + | 11.2586i | −0.0560690 | + | 0.371993i | ||||
\(917\) | −10.6626 | + | 26.9467i | −0.352110 | + | 0.889858i | ||||
\(918\) | −5.80666 | + | 10.2357i | −0.191648 | + | 0.337827i | ||||
\(919\) | 34.7640 | + | 10.7233i | 1.14676 | + | 0.353728i | 0.809175 | − | 0.587567i | \(-0.199914\pi\) |
0.337584 | + | 0.941295i | \(0.390390\pi\) | |||||||
\(920\) | 1.47410 | − | 0.222184i | 0.0485995 | − | 0.00732520i | ||||
\(921\) | −0.521384 | − | 18.9840i | −0.0171802 | − | 0.625545i | ||||
\(922\) | 3.10702 | − | 20.6137i | 0.102324 | − | 0.678877i | ||||
\(923\) | 0.693785 | − | 9.25792i | 0.0228362 | − | 0.304728i | ||||
\(924\) | 7.05641 | − | 2.97233i | 0.232139 | − | 0.0977825i | ||||
\(925\) | 3.23495 | + | 43.1674i | 0.106364 | + | 1.41933i | ||||
\(926\) | 37.3608 | + | 2.79980i | 1.22775 | + | 0.0920072i | ||||
\(927\) | 17.9820 | + | 5.94078i | 0.590607 | + | 0.195121i | ||||
\(928\) | 40.3961 | + | 27.5416i | 1.32607 | + | 0.904098i | ||||
\(929\) | −32.9099 | − | 41.2678i | −1.07974 | − | 1.35395i | −0.930977 | − | 0.365079i | \(-0.881042\pi\) |
−0.148763 | − | 0.988873i | \(-0.547529\pi\) | |||||||
\(930\) | 4.97194 | + | 3.19346i | 0.163036 | + | 0.104718i | ||||
\(931\) | −5.93479 | − | 40.9218i | −0.194505 | − | 1.34116i | ||||
\(932\) | 13.2884 | + | 7.67207i | 0.435276 | + | 0.251307i | ||||
\(933\) | −14.3953 | − | 6.45171i | −0.471280 | − | 0.211220i | ||||
\(934\) | 8.89208 | + | 0.666369i | 0.290958 | + | 0.0218043i | ||||
\(935\) | −0.515649 | − | 1.67169i | −0.0168635 | − | 0.0546703i | ||||
\(936\) | −7.87074 | − | 6.53691i | −0.257263 | − | 0.213666i | ||||
\(937\) | −12.0493 | + | 25.0205i | −0.393632 | + | 0.817386i | 0.606125 | + | 0.795369i | \(0.292723\pi\) |
−0.999758 | + | 0.0220165i | \(0.992991\pi\) | |||||||
\(938\) | −23.8095 | + | 5.36456i | −0.777407 | + | 0.175159i | ||||
\(939\) | −16.9717 | − | 12.7882i | −0.553849 | − | 0.417329i | ||||
\(940\) | 5.21195 | + | 0.785575i | 0.169995 | + | 0.0256226i | ||||
\(941\) | −27.8072 | − | 13.3912i | −0.906489 | − | 0.436542i | −0.0782608 | − | 0.996933i | \(-0.524937\pi\) |
−0.828228 | + | 0.560391i | \(0.810651\pi\) | |||||||
\(942\) | −19.5939 | − | 8.78166i | −0.638405 | − | 0.286122i | ||||
\(943\) | 8.51731 | − | 1.94402i | 0.277362 | − | 0.0633060i | ||||
\(944\) | 1.49748 | + | 1.87778i | 0.0487388 | + | 0.0611165i | ||||
\(945\) | −1.01740 | − | 6.53760i | −0.0330959 | − | 0.212668i | ||||
\(946\) | 8.29762 | − | 10.4049i | 0.269779 | − | 0.338292i | ||||
\(947\) | 21.0700 | − | 43.7523i | 0.684683 | − | 1.42176i | −0.211189 | − | 0.977445i | \(-0.567733\pi\) |
0.895871 | − | 0.444313i | \(-0.146552\pi\) | |||||||
\(948\) | 16.6640 | + | 19.7579i | 0.541223 | + | 0.641708i | ||||
\(949\) | −5.97251 | −0.193876 | ||||||||
\(950\) | −13.4115 | − | 23.2294i | −0.435127 | − | 0.753662i | ||||
\(951\) | 10.2676 | − | 8.65984i | 0.332951 | − | 0.280815i | ||||
\(952\) | 12.5686 | + | 13.6217i | 0.407350 | + | 0.441481i | ||||
\(953\) | 20.2370 | + | 4.61896i | 0.655541 | + | 0.149623i | 0.537339 | − | 0.843367i | \(-0.319430\pi\) |
0.118202 | + | 0.992990i | \(0.462287\pi\) | |||||||
\(954\) | 9.32683 | − | 28.2312i | 0.301967 | − | 0.914018i | ||||
\(955\) | 0.250004 | − | 1.65867i | 0.00808995 | − | 0.0536733i | ||||
\(956\) | −30.6366 | + | 12.0240i | −0.990858 | + | 0.388883i | ||||
\(957\) | 6.08351 | + | 23.6417i | 0.196652 | + | 0.764228i | ||||
\(958\) | −6.45476 | + | 6.95658i | −0.208544 | + | 0.224757i | ||||
\(959\) | 7.53133 | + | 50.9302i | 0.243199 | + | 1.64462i | ||||
\(960\) | 1.77973 | − | 4.92845i | 0.0574407 | − | 0.159065i | ||||
\(961\) | −24.4173 | −0.787656 | ||||||||
\(962\) | 5.00466 | + | 8.66833i | 0.161357 | + | 0.279478i | ||||
\(963\) | 2.09806 | + | 2.74096i | 0.0676089 | + | 0.0883262i | ||||
\(964\) | −4.14156 | − | 6.07455i | −0.133391 | − | 0.195648i | ||||
\(965\) | −1.80578 | − | 0.272177i | −0.0581301 | − | 0.00876170i | ||||
\(966\) | −4.55330 | − | 0.571824i | −0.146500 | − | 0.0183981i | ||||
\(967\) | −0.602710 | + | 0.0908440i | −0.0193819 | + | 0.00292135i | −0.158726 | − | 0.987323i | \(-0.550739\pi\) |
0.139344 | + | 0.990244i | \(0.455501\pi\) | |||||||
\(968\) | −17.3579 | − | 18.7073i | −0.557903 | − | 0.601277i | ||||
\(969\) | 9.95189 | − | 22.2050i | 0.319701 | − | 0.713327i | ||||
\(970\) | 1.53045 | − | 1.04345i | 0.0491399 | − | 0.0335030i | ||||
\(971\) | 14.5768 | + | 37.1411i | 0.467793 | + | 1.19192i | 0.948991 | + | 0.315304i | \(0.102107\pi\) |
−0.481198 | + | 0.876612i | \(0.659798\pi\) | |||||||
\(972\) | 16.2209 | + | 5.22305i | 0.520285 | + | 0.167529i | ||||
\(973\) | 21.0795 | + | 12.2487i | 0.675777 | + | 0.392676i | ||||
\(974\) | −19.7638 | + | 1.48109i | −0.633274 | + | 0.0474573i | ||||
\(975\) | −1.16510 | + | 9.49137i | −0.0373130 | + | 0.303967i | ||||
\(976\) | 1.00147 | + | 0.228578i | 0.0320562 | + | 0.00731662i | ||||
\(977\) | 12.3148 | + | 25.5719i | 0.393984 | + | 0.818117i | 0.999747 | + | 0.0224719i | \(0.00715364\pi\) |
−0.605763 | + | 0.795645i | \(0.707132\pi\) | |||||||
\(978\) | 5.18116 | + | 7.16831i | 0.165675 | + | 0.229217i | ||||
\(979\) | 8.11634 | − | 4.68597i | 0.259399 | − | 0.149764i | ||||
\(980\) | −3.63852 | − | 0.569186i | −0.116228 | − | 0.0181820i | ||||
\(981\) | −31.4429 | − | 2.98609i | −1.00389 | − | 0.0953385i | ||||
\(982\) | 9.14624 | − | 1.37857i | 0.291868 | − | 0.0439921i | ||||
\(983\) | −3.09186 | + | 41.2580i | −0.0986151 | + | 1.31593i | 0.700025 | + | 0.714118i | \(0.253172\pi\) |
−0.798640 | + | 0.601809i | \(0.794447\pi\) | |||||||
\(984\) | 11.3763 | − | 40.8286i | 0.362662 | − | 1.30157i | ||||
\(985\) | −0.288233 | + | 0.422760i | −0.00918387 | + | 0.0134703i | ||||
\(986\) | −17.2551 | + | 11.7644i | −0.549516 | + | 0.374654i | ||||
\(987\) | −41.8426 | − | 18.8934i | −1.33187 | − | 0.601384i | ||||
\(988\) | 6.17760 | + | 4.21182i | 0.196536 | + | 0.133996i | ||||
\(989\) | 8.95080 | − | 3.51293i | 0.284619 | − | 0.111705i | ||||
\(990\) | 1.84042 | − | 1.01432i | 0.0584923 | − | 0.0322371i | ||||
\(991\) | 18.2579 | − | 46.5203i | 0.579981 | − | 1.47777i | −0.276205 | − | 0.961099i | \(-0.589077\pi\) |
0.856186 | − | 0.516668i | \(-0.172828\pi\) | |||||||
\(992\) | 8.78286 | + | 38.4802i | 0.278856 | + | 1.22175i | ||||
\(993\) | 25.7866 | + | 11.5571i | 0.818312 | + | 0.366753i | ||||
\(994\) | −20.2019 | − | 0.0563255i | −0.640765 | − | 0.00178654i | ||||
\(995\) | 0.527069 | − | 0.206860i | 0.0167092 | − | 0.00655789i | ||||
\(996\) | −10.2077 | − | 16.6098i | −0.323444 | − | 0.526303i | ||||
\(997\) | 7.32631 | − | 23.7513i | 0.232027 | − | 0.752212i | −0.762431 | − | 0.647070i | \(-0.775994\pi\) |
0.994457 | − | 0.105142i | \(-0.0335296\pi\) | |||||||
\(998\) | −9.91378 | + | 5.72373i | −0.313815 | + | 0.181181i | ||||
\(999\) | −37.1020 | − | 29.1310i | −1.17386 | − | 0.921664i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.bn.a.5.20 | yes | 648 | |
9.2 | odd | 6 | 441.2.bd.a.299.20 | yes | 648 | ||
49.10 | odd | 42 | 441.2.bd.a.59.20 | ✓ | 648 | ||
441.353 | even | 42 | inner | 441.2.bn.a.353.20 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.59.20 | ✓ | 648 | 49.10 | odd | 42 | ||
441.2.bd.a.299.20 | yes | 648 | 9.2 | odd | 6 | ||
441.2.bn.a.5.20 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bn.a.353.20 | yes | 648 | 441.353 | even | 42 | inner |